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Artykuły w czasopismach na temat „Many-Body formalisms”

Autor: Grafiati

Data publikacji: 19 października 2024

Data aktualizacji: 31 lipca 2025

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1

Faber, C., P. Boulanger, C. Attaccalite, I. Duchemin, and X. Blase. "Excited states properties of organic molecules: from density functional theory to the GW and Bethe–Salpeter Green's function formalisms." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372, no. 2011 (2014): 20130271. http://dx.doi.org/10.1098/rsta.2013.0271.

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Many-body Green's function perturbation theories, such as the GW and Bethe–Salpeter formalisms, are starting to be routinely applied to study charged and neutral electronic excitations in molecular organic systems relevant to applications in photovoltaics, photochemistry or biology. In parallel, density functional theory and its time-dependent extensions significantly progressed along the line of range-separated hybrid functionals within the generalized Kohn–Sham formalism designed to provide correct excitation energies. We give an overview and compare these approaches with examples drawn from

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AL-SUGHEIR, M. K., H. B. GHASSIB, and B. R. JOUDEH. "FERMI PAIRING IN DILUTE 3He-HeII MIXTURES." International Journal of Modern Physics B 20, no. 18 (2006): 2491–504. http://dx.doi.org/10.1142/s0217979206034844.

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In this paper the Galitskii–Migdal–Feynman (GMF) formalism is applied to dilute 3He-HeII mixtures. In particular, the effect of the hole-hole scattering on pairing in these systems is investigated. To this end, the relative phase shifts incorporating many-body effects based on both Brueckner–Bethe–Goldstone (BBG) and GMF formalisms are calculated. In the GMF formalism, the S-wave phase shift at zero relative momentum is –π and has a cusp at the Fermi momentum; while in the BBG formalism, this phase shift has zero values up to the Fermi momentum. From these results we conclude that hole-hole sc

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3

Evangelista, Francesco A. "Automatic derivation of many-body theories based on general Fermi vacua." Journal of Chemical Physics 157, no. 6 (2022): 064111. http://dx.doi.org/10.1063/5.0097858.

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This paper describes Wick&d, an implementation of the algebra of second-quantized operators normal ordered with respect to general correlated references and the corresponding Wick theorem [D. Mukherjee, Chem. Phys. Lett. 274, 561 (1997) and W. Kutzelnigg and D. Mukherjee, J. Chem. Phys. 107, 432 (1997)]. Wick&d employs a compact representation of operators and a backtracking algorithm to efficiently evaluate Wick contractions. Since Wick&d can handle both fully and partially contracted terms, it can be applied to both projective and Fock-space many-body formalisms. To demonstrate t

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4

HU, BEN YU-KUANG. "MANY-BODY EFFECTS IN FRICTIONAL DRAG BETWEEN COUPLED TWO-DIMENSIONAL ELECTRON SYSTEMS." International Journal of Modern Physics B 13, no. 05n06 (1999): 469–78. http://dx.doi.org/10.1142/s0217979299000369.

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Independently contacted coupled quantum wells separated by barriers which allow significant interlayer interactions but no tunneling have been fabricated. When current is passed through one layer, the interlayer interactions drag carriers in the second layer, resulting in a voltage response (for open circuits). The magnitude of the response gives a quantitative measure of the effective interlayer interactions and response functions of the system, and hence this is an excellent laboratory for the study of many-body phenomena in two-dimensional electron gases. We review the Boltzmann and Kubo fo

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5

Lindgren, I., S. Salomonson, and D. Hedendahl. "Many-body-QED perturbation theory: Connection to the two-electron BetheSalpeter equation." Canadian Journal of Physics 83, no. 3 (2005): 183–218. http://dx.doi.org/10.1139/p05-027.

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The connection between many-body perturbation theory (MBPT) and quantum electrodynamics (QED) is reviewed for systems of two fermions in an external field. The treatment is mainly based on the recently developed covariant-evolution-operator method for QED calculations (I. Lindgren, S. Salomonson, and B. Åsén. Phys. Rep. 389, 161 (2004)), which is quite similar in structure to MBPT. At the same time, this procedure is closely related to the S-matrix and Green's-function formalisms and can therefore serve as a bridge connecting various approaches. It is demonstrated that the MBPTQED scheme, whe

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6

Chaudhuri, Rajat, Dhiman Sinha, and Debashis Mukherjee. "On the extensivity of the roots of effective Hamiltonians in many-body formalisms employing incomplete model spaces." Chemical Physics Letters 163, no. 2-3 (1989): 165–70. http://dx.doi.org/10.1016/0009-2614(89)80029-6.

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7

Bauman, Nicholas P., Eric J. Bylaska, Sriram Krishnamoorthy, et al. "Downfolding of many-body Hamiltonians using active-space models: Extension of the sub-system embedding sub-algebras approach to unitary coupled cluster formalisms." Journal of Chemical Physics 151, no. 1 (2019): 014107. http://dx.doi.org/10.1063/1.5094643.

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8

Alastuey, A. "Statistical Mechanics of Quantum Plasmas Path Integral Formalism." International Astronomical Union Colloquium 147 (1994): 43–77. http://dx.doi.org/10.1017/s0252921100026312.

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AbstractIn this review, we consider a quantum Coulomb fluid made of charged point particles (typically electrons and nuclei). We describe various formalisms which start from the first principles of statistical mechanics. These methods allow systematic calculations of the equilibrium quantities in some particular limits. The effective-potential method is evocated first, as well as its application to the derivation of low-density expansions. We also sketch the basic outlines of the standard many-body perturbation theory. This approach is well suited for calculating expansions at high density (fo

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9

Villani, Matteo, and Xavier Oriols. "Can Wigner distribution functions with collisions satisfy complete positivity and energy conservation?" Journal of Computational Electronics 20, no. 6 (2021): 2232–44. http://dx.doi.org/10.1007/s10825-021-01798-1.

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AbstractTo avoid the computational burden of many-body quantum simulation, the interaction of an electron with a photon (phonon) is typically accounted for by disregarding the explicit simulation of the photon (phonon) degree of freedom and just modeling its effect on the electron dynamics. For quantum models developed from the (reduced) density matrix or its Wigner–Weyl transformation, the modeling of collisions may violate complete positivity (precluding the typical probabilistic interpretation). In this paper, we show that such quantum transport models can also strongly violate the energy c

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10

Baer, Roi, and Daniel Neuhauser. "Many-body scattering formalism of quantum molecular conductance." Chemical Physics Letters 374, no. 5-6 (2003): 459–63. http://dx.doi.org/10.1016/s0009-2614(03)00709-7.

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11

Lungu, Radu Paul, and Andrei Manolescu. "Many-Body Fermion Systems in the Floquet Formalism." Physica Scripta 62, no. 6 (2000): 433–45. http://dx.doi.org/10.1238/physica.regular.062a00433.

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12

Dardi, Peter S., and R. I. Cukier. "Vibrational relaxation in fluids: A many body scattering formalism." Journal of Chemical Physics 86, no. 4 (1987): 2264–75. http://dx.doi.org/10.1063/1.452125.

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13

Shiau, Shiue-Yuan, Ching-Hang Chien, Yia-Chung Chang, and Monique Combescot. "Coboson many-body formalism for atom–dimer scattering length." Annals of Physics 400 (January 2019): 366–82. http://dx.doi.org/10.1016/j.aop.2018.11.026.

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14

Nest, Maarten Van den. "A monomial matrix formalism to describe quantum many-body states." New Journal of Physics 13, no. 12 (2011): 123004. http://dx.doi.org/10.1088/1367-2630/13/12/123004.

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15

Gomes, Rosana O., Cesar A. Z. Vasconcellos, Bruno Franzon, Stefan Schramm, and Veronica Dexheimer. "Highly Magnetized Neutron Stars in a Many-body Forces Formalism." International Journal of Modern Physics: Conference Series 45 (January 2017): 1760033. http://dx.doi.org/10.1142/s2010194517600333.

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In this work, we study the effects of different magnetic field configurations in neutron stars described by a many-body forces formalism (MBF model). The MBF model is a relativistic mean field formalism that takes into account many-body forces by means of a meson field dependence of the nuclear interaction coupling constants. We choose the best parametrization of the model that reproduces nuclear matter properties at saturation and also describes massive neutron stars. We assume matter to be in beta-equilibrium, charge neutral and at zero temperature. Magnetic fields are taken into account bot

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16

Saito, Susumu, S. B. Zhang, Steven G. Louie, and Marvin L. Cohen. "New formalism for determining excitation spectra of many-body systems." Physical Review B 42, no. 12 (1990): 7391–97. http://dx.doi.org/10.1103/physrevb.42.7391.

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17

BENHAR, OMAR. "MANY-BODY THEORY OF THE ELECTROWEAK NUCLEAR RESPONSE." International Journal of Modern Physics E 18, no. 05n06 (2009): 1282–301. http://dx.doi.org/10.1142/s0218301309013506.

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After a brief review of the theoretical description of nuclei based on nonrelativistic many-body theory and realistic hamiltonians, these lectures focus on its application to the analysis of the electroweak response. Special emphasis is given to electron-nucleus scattering, whose experimental study has provided a wealth of information on nuclear structure and dynamics, exposing the limitations of the shell model. The extension of the formalism to the case of neutrino-nucleus interactions, whose quantitative understanding is required to reduce the systematic uncertainty of neutrino oscillation

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18

Chakrabarti, Barnali. "Use of supersymmetric isospectral formalism to realistic quantum many-body problems." Pramana 73, no. 2 (2009): 405–16. http://dx.doi.org/10.1007/s12043-009-0132-6.

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19

Schuck, Peter. "Many-body Dyson equation approach to the seniority model of pairing." International Journal of Modern Physics E 29, no. 04 (2020): 2050023. http://dx.doi.org/10.1142/s0218301320500238.

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As is well known, the single level seniority model of pairing has been solved exactly, since long using angular momentum algebra. It is shown that it can also be solved using the Dyson equation of standard many-body theory. The formalism shows some interesting many-body aspects.

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20

Larder, B., D. O. Gericke, S. Richardson, P. Mabey, T. G. White, and G. Gregori. "Fast nonadiabatic dynamics of many-body quantum systems." Science Advances 5, no. 11 (2019): eaaw1634. http://dx.doi.org/10.1126/sciadv.aaw1634.

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Modeling many-body quantum systems with strong interactions is one of the core challenges of modern physics. A range of methods has been developed to approach this task, each with its own idiosyncrasies, approximations, and realm of applicability. However, there remain many problems that are intractable for existing methods. In particular, many approaches face a huge computational barrier when modeling large numbers of coupled electrons and ions at finite temperature. Here, we address this shortfall with a new approach to modeling many-body quantum systems. On the basis of the Bohmian trajecto

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21

Wang, Huai-Yu. "Many-body theories for negative kinetic energy systems." Physics Essays 36, no. 2 (2023): 198–211. http://dx.doi.org/10.4006/0836-1398-36.2.198.

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In the author’s previous works, it is derived from the Dirac equation that particles can have negative kinetic energy (NKE) solutions, and they should be treated on an equal footing as the positive kinetic energy (PKE) solutions. More than one NKE particles can make up a stable system by means of interactions between them and such a system has necessarily negative temperature. Thus, many-body theories for NKE systems are desirable. In this work, the many-body theories for NKE systems are presented. They are Thomas‐Fermi method, Hohenberg‐Kohn theorem, Khon‐Sham self-consistent equations, and H

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22

Honet, Antoine, Luc Henrard, and Vincent Meunier. "Semi-empirical many-body formalism of optical absorption in nanosystems and molecules." Carbon Trends 4 (July 2021): 100073. http://dx.doi.org/10.1016/j.cartre.2021.100073.

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23

Dardi, Peter S., and R. I. Cukier. "Vibrational relaxation in fluids: Calculations based on a many‐body scattering formalism." Journal of Chemical Physics 86, no. 12 (1987): 6893–907. http://dx.doi.org/10.1063/1.452389.

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24

Nakano, Masahiro, and Akira Hasegawa. "Relativistic many-body theory of finite nuclei and the Schwinger-Dyson formalism." Physical Review C 43, no. 2 (1991): 618–33. http://dx.doi.org/10.1103/physrevc.43.618.

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25

Sellier, J. M., and I. Dimov. "On the simulation of indistinguishable fermions in the many-body Wigner formalism." Journal of Computational Physics 280 (January 2015): 287–94. http://dx.doi.org/10.1016/j.jcp.2014.09.026.

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26

Sun, Jiace, Lixue Cheng, and Shi-Xin Zhang. "Stabilizer ground states for simulating quantum many-body physics: theory, algorithms, and applications." Quantum 9 (June 24, 2025): 1782. https://doi.org/10.22331/q-2025-06-24-1782.

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Stabilizer states, which are also known as the Clifford states, have been commonly utilized in quantum information, quantum error correction, and quantum circuit simulation due to their simple mathematical structure. In this work, we apply stabilizer states to tackle quantum many-body ground state problems and introduce the concept of stabilizer ground states. We establish an equivalence formalism for identifying stabilizer ground states of general Pauli Hamiltonians. Moreover, we develop an exact and linear-scaled algorithm to obtain stabilizer ground states of 1D local Hamiltonians and thus

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27

Hikami, Kazuhiro. "Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems." Journal of the Physical Society of Japan 65, no. 2 (1996): 394–401. http://dx.doi.org/10.1143/jpsj.65.394.

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28

Moldoveanu, Manolescu, and Gudmundsson. "Generalized Master Equation Approach to Time-Dependent Many-Body Transport." Entropy 21, no. 8 (2019): 731. http://dx.doi.org/10.3390/e21080731.

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We recall theoretical studies on transient transport through interacting mesoscopic systems.It is shown that a generalized master equation (GME) written and solved in terms of many-body statesprovides the suitable formal framework to capture both the effects of the Coulomb interaction andelectron–photon coupling due to a surrounding single-mode cavity. We outline the derivation of thisequation within the Nakajima–Zwanzig formalism and point out technical problems related to itsnumerical implementation for more realistic systems which can neither be described by non-interactingtwo-level models

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29

Ternovsky, V. B. "OPTIMIZED RELATIVISTIC MANY-BODY PERTURBATION THEORY IN CALCULATIONS OF ATOMIC SPECTRAL AND RADIATION CHARACTERISTICS: Eu ATOM." Photoelectronics, no. 30 (August 21, 2022): 97–104. http://dx.doi.org/10.18524/0235-2435.2021.30.262864.

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The new formalism of the relativistic gauge-invariant perturbation theory (RMBPT-ODF) with the optimized Dirac-Fock approximation and a generalized energy approach is applied to the study of energy, radiation, and spectroscopic characteristics of a group of heavy atomic systems, in particular, energy levels and transition probabilities and oscillator strengths of the transitions 4f7(8S)6s2 8S7/2 4f7(8S)6s6p 8P5/2,7.2,9.2, 4f7(8S)6s7p 8P5/2,7\2, 4f7(8S)6s8p 8P9/2,7\2 in spectrum of the europium atom Eu I. It is shown that the required formalism, in comparison with the standard non-optimized rel

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30

RATH, ASWINI KUMAR, P. M. WALKER, and C. R. PRAHARAJ. "SPECTROSCOPY OF HIGH-K BANDS IN THE A=180 REGION USING A QUANTUM MANY-BODY METHOD." International Journal of Modern Physics B 17, no. 28 (2003): 5215–19. http://dx.doi.org/10.1142/s0217979203020351.

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Using deformed Hartree–Fock and the angular momentum projection formalism, the nature of the first band crossings in the high spin structure of 182,184,186 Os , 181,183 Re and 181 Ta are studied. The degree of high-K mixing obtained in the calculation provides a microscopic understanding of the K-forbidden transitions from the high-K bandheads to the yrast states with low-K intrinsic structure.

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31

Nevzorov, Alexander A., and Jack H. Freed. "Direct-product formalism for calculating magnetic resonance signals in many-body systems of interacting spins." Journal of Chemical Physics 115, no. 6 (2001): 2401–15. http://dx.doi.org/10.1063/1.1382816.

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32

Takada, Yasutami, and Takafumi Kita. "Effective-potential expansion method for the many-body problem at finite temperatures. I. Basic formalism." Physical Review A 42, no. 6 (1990): 3242–50. http://dx.doi.org/10.1103/physreva.42.3242.

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33

Makushkina, M., O. Antoshkina, and O. Khetselius. "HYPERFINE STRUCTURE PARAMETERS FOR COMPLEX ATOMS WITHIN RELATIVISTIC MANY-BODY PERTURBATION THEORY." Photoelectronics, no. 29 (December 28, 2021): 52–59. http://dx.doi.org/10.18524/0235-2435.2020.29.225493.

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The calculational results for the hyperfine structure (HFS) parameters for the Mn atom (levels of the configuration 3d64s) and the results of advanced calculating the HFS constants and nuclear quadrupole moment for the radium isotope are obtained on the basis of computing within the relativistic many-body perturbation theory formalism with a correct and effective taking into account the exchange-correlation, relativistic, nuclear and radiative corrections. Analysis of the data shows that an account of the interelectron correlation effects is crucial in the calculation of the hyperfine structur

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34

Tanaka, Toshiaki. "Parasupersymmetry and N-fold supersymmetry in quantum many-body systems. I: General formalism and second order." Annals of Physics 322, no. 10 (2007): 2350–73. http://dx.doi.org/10.1016/j.aop.2006.11.009.

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35

Bian, Wensheng, and Conghao Deng. "Direct solution of the many-body Schrödinger equation in the hyperspherical formalism: Formulation of theCFHH-GLFmethod." International Journal of Quantum Chemistry 51, no. 5 (1994): 285–91. http://dx.doi.org/10.1002/qua.560510504.

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36

Fanchi, John R. "Probabilistic Basis of Parametrized Relativistic Quantum Theory in Curved Spacetime." Mathematics 13, no. 10 (2025): 1657. https://doi.org/10.3390/math13101657.

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A probabilistic basis for Parametrized Relativistic Quantum Theory (PRQT) has been developed for multicomponent eigenvectors and many-body applications in flat spacetime. This paper presents an extension of the multicomponent, many-body PRQT formalism to curved spacetime.

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37

Whitfield, Troy W., and Glenn J. Martyna. "A unified formalism for many-body polarization and dispersion: The quantum Drude model applied to fluid xenon." Chemical Physics Letters 424, no. 4-6 (2006): 409–13. http://dx.doi.org/10.1016/j.cplett.2006.04.035.

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38

Lubatsch, Andreas, and Regine Frank. "Quantum Many-Body Theory for Exciton-Polaritons in Semiconductor Mie Resonators in the Non-Equilibrium." Applied Sciences 10, no. 5 (2020): 1836. http://dx.doi.org/10.3390/app10051836.

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We implement externally excited ZnO Mie resonators in a framework of a generalized Hubbard Hamiltonian to investigate the lifetimes of excitons and exciton-polaritons out of thermodynamical equilibrium. Our results are derived by a Floquet-Keldysh-Green’s formalism with Dynamical Mean Field Theory (DMFT) and a second order iterative perturbation theory solver (IPT). We find that the Fano resonance which originates from coupling of the continuum of electronic density of states to the semiconductor Mie resonator yields polaritons with lifetimes between 0.6 ps and 1.45 ps. These results are compa

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39

Wang, Hainan, Yanling Lü, Jiaxin Chen, Yuzhi Song, Chengyuan Zhang, and Yongqing Li. "An accurate many-body expansion potential energy surface for SiH₂ (1¹ A′) using a switching function formalism." Physical Chemistry Chemical Physics 24, no. 13 (2022): 7759–67. http://dx.doi.org/10.1039/d1cp05432e.

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The two potential energy curves for H–H bond stretching when r1 = 25 a0 at the MRCI(Q)/AV(Q+d)Z level dissociate inconsistently. A switching function formalism has been utilized to warrant the correct behavior at the Si (1D) + H2 (X1Σ+g) dissociation channels.

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40

Balaž, Antun, Ivana Vidanović, Aleksandar Bogojević, Aleksandar Belić, and Axel Pelster. "Fast converging path integrals for time-dependent potentials: II. Generalization to many-body systems and real-time formalism." Journal of Statistical Mechanics: Theory and Experiment 2011, no. 03 (2011): P03005. http://dx.doi.org/10.1088/1742-5468/2011/03/p03005.

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41

Li, Jing, Gabriele D’Avino, Ivan Duchemin, David Beljonne, and Xavier Blase. "Combining the Many-Body GW Formalism with Classical Polarizable Models: Insights on the Electronic Structure of Molecular Solids." Journal of Physical Chemistry Letters 7, no. 14 (2016): 2814–20. http://dx.doi.org/10.1021/acs.jpclett.6b01302.

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Li, Jing, Gabriele D'Avino, Ivan Duchemin, David Beljonne, and Xavier Blase. "Combining the Many-Body GW Formalism with Classical Polarizable Models: Insights on the Electronic Structure of Molecular Solids." Journal of Physical Chemistry Letters 7, no. 14 (2016): 2814–20. https://doi.org/10.1021/acs.jpclett.6b01302.

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We present an original hybrid QM/MM scheme merging the many-body Green’s function <em>GW</em> formalism with classical discrete polarizable models and its application to the paradigmatic case of a pentacene crystal. Our calculated transport gap is found to be in excellent agreement with reference periodic bulk <em>GW</em> calculations, together with properly parametrized classical microelectrostatic calculations, and with photoionization measurements at crystal surfaces. More importantly, we prove that the gap is insensitive to the partitioning of pentacene molecules

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43

Palos, Etienne, Saswata Dasgupta, Eleftherios Lambros, and Francesco Paesani. "Data-driven many-body potentials from density functional theory for aqueous phase chemistry." Chemical Physics Reviews 4, no. 1 (2023): 011301. http://dx.doi.org/10.1063/5.0129613.

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Density functional theory (DFT) has been applied to modeling molecular interactions in water for over three decades. The ubiquity of water in chemical and biological processes demands a unified understanding of its physics, from the single molecule to the thermodynamic limit and everything in between. Recent advances in the development of data-driven and machine-learning potentials have accelerated simulation of water and aqueous systems with DFT accuracy. However, anomalous properties of water in the condensed phase, where a rigorous treatment of both local and non-local many-body (MB) intera

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44

Hertl, Nils, Alexander Kandratsenka, and Alec M. Wodtke. "Effective medium theory for bcc metals: electronically non-adiabatic H atom scattering in full dimensions." Physical Chemistry Chemical Physics 24, no. 15 (2022): 8738–48. http://dx.doi.org/10.1039/d2cp00087c.

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45

Campana, L. S., A. Cavallo, L. De Cesare, U. Esposito, and A. Naddeo. "Thermodynamics of the Classical Planar Ferromagnet Close to the Zero-Temperature Critical Point: A Many-Body Approach." Advances in Condensed Matter Physics 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/619513.

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We explore the low-temperature thermodynamic properties and crossovers of ad-dimensional classical planar Heisenberg ferromagnet in a longitudinal magnetic field close to its field-induced zero-temperature critical point by employing the two-time Green’s function formalism in classical statistical mechanics. By means of a classical Callen-like method for the magnetization and the Tyablikov-like decoupling procedure, we obtain, for anyd, a low-temperature critical scenario which is quite similar to the one found for the quantum counterpart. Remarkably, ford>2the discrimination between the tw

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Soler-Polo, Diego, José Ortega, and Fernando Flores. "A local-orbital density functional formalism for a many-body atomic Hamiltonian: Hubbard–Hund’s coupling and DFT + U functional." Journal of Physics: Condensed Matter 33, no. 42 (2021): 425604. http://dx.doi.org/10.1088/1361-648x/ac1155.

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Mullins, Nicki, Mauricio Hippert, Lorenzo Gavassino, and Jorge Noronha. "A new approach to stochastic relativistic fluid dynamics from information flow." EPJ Web of Conferences 296 (2024): 13001. http://dx.doi.org/10.1051/epjconf/202429613001.

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We present a new general formalism for introducing thermal fluctuations in relativistic hydrodynamics, which incorporates recent developments on the causality and stability of relativistic hydrodynamic theories. Our approach is based on the information current, which measures the net amount of information carried by perturbations around equilibrium in a relativistic many-body system. The resulting noise correlators are guaranteed to be observer-independent for thermodynamically stable models. We obtain an effective action within our formalism and discuss its properties.

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OSTERLOH, ANDREAS. "ENTANGLEMENT AND ITS MULTIPARTITE EXTENSIONS." International Journal of Modern Physics B 27, no. 01n03 (2012): 1345018. http://dx.doi.org/10.1142/s0217979213450185.

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The aspects of many particle systems, as far as their entanglement is concerned, is highlighted. To this end we briefly review the bipartite measures of entanglement and the entanglement of pairs both for systems of distinguishable and indistinguishable particles. The analysis of these quantities in macroscopic systems shows that close to quantum phase transitions, the entanglement of many particles typically dominates that of pairs. This leads to an analysis of a method to construct many-body entanglement measures. SL-invariant measures are a generalization to quantities as the concurrence, a

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Pang, Jin-Yi. "Three-particle system in a finite volume: formalism, quantization condition, spectrum and energy shift." EPJ Web of Conferences 241 (2020): 02005. http://dx.doi.org/10.1051/epjconf/202024102005.

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Lattice QCD calculations provide an ab initio access to hadronic process. These calculations are usu ally performed in a small cubic volume with periodic boundary conditions. The infinite volume extrapolations for three-body systems are indispensable to understand many systems of high current interest. We derive the three-body quantization condition in a finite volume using an effective field theory in the particle-dimer picture. Our work shows a powerful and transparent method to read off three-body physical observables from lattice simulations. In this paper, we review the formalism, quantiz

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Yue, Shuwen, Marc Riera, Raja Ghosh, Athanassios Z. Panagiotopoulos, and Francesco Paesani. "Transferability of data-driven, many-body models for CO₂ simulations in the vapor and liquid phases." Journal of Chemical Physics 156, no. 10 (2022): 104503. http://dx.doi.org/10.1063/5.0080061.

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Extending on the previous work by Riera et al. [J. Chem. Theory Comput. 16, 2246–2257 (2020)], we introduce a second generation family of data-driven many-body MB-nrg models for CO2 and systematically assess how the strength and anisotropy of the CO2–CO2 interactions affect the models’ ability to predict vapor, liquid, and vapor–liquid equilibrium properties. Building upon the many-body expansion formalism, we construct a series of MB-nrg models by fitting one-body and two-body reference energies calculated at the coupled cluster level of theory for large monomer and dimer training sets. Advan

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