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Relevant bibliographies by topics / Redfield equation

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Journal articles

Academic literature on the topic 'Redfield equation'

Author: Grafiati

Published: 22 February 2023

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Journal articles on the topic "Redfield equation"

1

Murphy, Conor N., Luísa Toledo Tude, and Paul R. Eastham. "Laser Cooling beyond Rate Equations: Approaches from Quantum Thermodynamics." Applied Sciences 12, no. 3 (2022): 1620. http://dx.doi.org/10.3390/app12031620.

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Solids can be cooled by driving impurity ions with lasers, allowing them to transfer heat from the lattice phonons to the electromagnetic surroundings. This exemplifies a quantum thermal machine, which uses a quantum system as a working medium to transfer heat between reservoirs. We review the derivation of the Bloch-Redfield equation for a quantum system coupled to a reservoir, and its extension, using counting fields, to calculate heat currents. We use the full form of this equation, which makes only the weak-coupling and Markovian approximations, to calculate the cooling power for a simple

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2

Davidović, Dragomir. "Completely Positive, Simple, and Possibly Highly Accurate Approximation of the Redfield Equation." Quantum 4 (September 21, 2020): 326. http://dx.doi.org/10.22331/q-2020-09-21-326.

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Here we present a Lindblad master equation that approximates the Redfield equation, a well known master equation derived from first principles, without significantly compromising the range of applicability of the Redfield equation. Instead of full-scale coarse-graining, this approximation only truncates terms in the Redfield equation that average out over a time-scale typical of the quantum system. The first step in this approximation is to properly renormalize the system Hamiltonian, to symmetrize the gains and losses of the state due to the environmental coupling. In the second step, we swap

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3

Toutounji, Mohamad. "Mixed quantum-classical Redfield master equation." Journal of Chemical Physics 123, no. 24 (2005): 244102. http://dx.doi.org/10.1063/1.2140270.

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4

Mozgunov, Evgeny, and Daniel Lidar. "Completely positive master equation for arbitrary driving and small level spacing." Quantum 4 (February 6, 2020): 227. http://dx.doi.org/10.22331/q-2020-02-06-227.

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Markovian master equations are a ubiquitous tool in the study of open quantum systems, but deriving them from first principles involves a series of compromises. On the one hand, the Redfield equation is valid for fast environments (whose correlation function decays much faster than the system relaxation time) regardless of the relative strength of the coupling to the system Hamiltonian, but is notoriously non-completely-positive. On the other hand, the Davies equation preserves complete positivity but is valid only in the ultra-weak coupling limit and for systems with a finite level spacing, w

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5

Kalyanaraman, C., and D. G. Evans. "Symplectic integrators for the multilevel Redfield equation." Chemical Physics Letters 324, no. 5-6 (2000): 459–65. http://dx.doi.org/10.1016/s0009-2614(00)00636-9.

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6

Link, Valentin, Walter T. Strunz, and Kimmo Luoma. "Non-Markovian Quantum Dynamics in a Squeezed Reservoir." Entropy 24, no. 3 (2022): 352. http://dx.doi.org/10.3390/e24030352.

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We study non-Markovian dynamics of an open quantum system system interacting with a nonstationary squeezed bosonic reservoir. We derive exact and approximate descriptions for the open system dynamics. Focusing on the spin boson model, we compare exact dynamics with Redfield theory and a quantum optical master equation for both short and long time dynamics and in non-Markovian and Markov regimes. The squeezing of the bath results in asymptotic oscillations in the stationary state, which are captured faithfully by the Redfield master equation in the case of weak coupling. Furthermore, we find th

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7

Gaspard, P., and M. Nagaoka. "Slippage of initial conditions for the Redfield master equation." Journal of Chemical Physics 111, no. 13 (1999): 5668–75. http://dx.doi.org/10.1063/1.479867.

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8

Scali, Stefano, Janet Anders, and Luis A. Correa. "Local master equations bypass the secular approximation." Quantum 5 (May 1, 2021): 451. http://dx.doi.org/10.22331/q-2021-05-01-451.

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Master equations are a vital tool to model heat flow through nanoscale thermodynamic systems. Most practical devices are made up of interacting sub-system, and are often modelled using either local master equations (LMEs) or global master equations (GMEs). While the limiting cases in which either the LME or the GME breaks down are well understood, there exists a 'grey area' in which both equations capture steady-state heat currents reliably, but predict very different transient heat flows. In such cases, which one should we trust? Here, we show that, when it comes to dynamics, the local approa

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9

Kohen, D., and D. J. Tannor. "Classical-quantum correspondence in the Redfield equation and its solutions." Journal of Chemical Physics 107, no. 13 (1997): 5141–53. http://dx.doi.org/10.1063/1.474877.

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10

Yan, Shen, Lu Yu-Ping, and Liang Xian-Ting. "Comparative studies of open qubit via Bloch equation and master equation of Redfield form." Chinese Physics B 19, no. 10 (2010): 100308. http://dx.doi.org/10.1088/1674-1056/19/10/100308.

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