Academic literature on the topic 'Quantum trajectory framework'

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Journal articles on the topic "Quantum trajectory framework"

1

Rahmani, Faramarz, and Mehdi Golshani. "Some clarifications about the Bohmian geodesic deviation equation and Raychaudhuri’s equation." International Journal of Modern Physics A 33, no. 03 (2018): 1850027. http://dx.doi.org/10.1142/s0217751x18500276.

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One of the important and famous topics in general theory of relativity and gravitation is the problem of geodesic deviation and its related singularity theorems. An interesting subject is the investigation of these concepts when quantum effects are considered. Since the definition of trajectory is not possible in the framework of standard quantum mechanics (SQM), we investigate the problem of geodesic equation and its related topics in the framework of Bohmian quantum mechanics in which the definition of trajectory is possible. We do this in a fixed background and we do not consider the backre
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Mandal, Bikramaditya, Alexander Semenov, and Dmitri Babikov. "Adiabatic Trajectory Approximation within the Framework of Mixed Quantum/Classical Theory." Journal of Physical Chemistry A 124, no. 47 (2020): 9877–88. http://dx.doi.org/10.1021/acs.jpca.0c07547.

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Garashchuk, Sophya. "Description of Bound Reactive Dynamics within the Approximate Quantum Trajectory Framework†." Journal of Physical Chemistry A 113, no. 16 (2009): 4451–56. http://dx.doi.org/10.1021/jp8110869.

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Liu, Cheng-Zhou, and Qiao-Jun Cao. "Particle tunneling in a quantum corrected spacetime." Modern Physics Letters A 30, no. 02 (2015): 1550007. http://dx.doi.org/10.1142/s0217732315500078.

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Particle tunneling from a quantum corrected black hole in the gravity's rainbow was investigated by the radial trajectory method of the tunneling framework. Using the thermodynamic property of the event horizon, a simpler method for calculating the tunneling probability was shown. In this method, the Painleve coordinate transformation of spacetime and the radial trajectory equation of the tunneling particles used in the previous radial trajectory method was not used. Using the simpler method, the tunneling probability of outgoing particles, regardless of whether they are massless or massive, w
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BARCHIELLI, A., M. GREGORATTI, and M. LICCIARDO. "QUANTUM TRAJECTORIES, FEEDBACK AND SQUEEZING." International Journal of Quantum Information 06, supp01 (2008): 581–87. http://dx.doi.org/10.1142/s0219749908003815.

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Quantum trajectory theory is the best mathematical set up to model continual observations of a quantum system and feedback based on the observed output. Inside this framework, we study how to enhance the squeezing of the fluorescence light emitted by a two-level atom, stimulated by a coherent monochromatic laser. In the presence of a Wiseman-Milburn feedback scheme, based on the homodyne detection of a fraction of the emitted light, we analyze the squeezing dependence on the various control parameters.
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Beyer, Konstantin, Kimmo Luoma, Tim Lenz, and Walter T. Strunz. "Measured Composite Collision Models: Quantum Trajectory Purities and Channel Divisibility." Entropy 24, no. 5 (2022): 715. http://dx.doi.org/10.3390/e24050715.

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We investigate a composite quantum collision model with measurements on the memory part, which effectively probe the system. The framework allows us to adjust the measurement strength, thereby tuning the dynamical map of the system. For a two-qubit setup with a symmetric and informationally complete measurement on the memory, we study the divisibility of the resulting dynamics in dependence of the measurement strength. The measurements give rise to quantum trajectories of the system and we show that the average asymptotic purity depends on the specific form of the measurement. With the help of
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Burnett, Christopher L., Darryl D. Holm, and David M. Meier. "Inexact trajectory planning and inverse problems in the Hamilton–Pontryagin framework." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469, no. 2160 (2013): 20130249. http://dx.doi.org/10.1098/rspa.2013.0249.

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We study a trajectory-planning problem whose solution path evolves by means of a Lie group action and passes near a designated set of target positions at particular times. This is a higher-order variational problem in optimal control, motivated by potential applications in computational anatomy and quantum control. Reduction by symmetry in such problems naturally summons methods from Lie group theory and Riemannian geometry. A geometrically illuminating form of the Euler–Lagrange equations is obtained from a higher-order Hamilton–Pontryagin variational formulation. In this context, the previou
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Peter, Patrick. "Using Trajectories in Quantum Cosmology." Universe 4, no. 8 (2018): 89. http://dx.doi.org/10.3390/universe4080089.

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Quantum cosmology based on the Wheeler De Witt equation represents a simple way to implement plausible quantum effects in a gravitational setup. In its minisuperspace version wherein one restricts attention to FLRW metrics with a single scale factor and only a few degrees of freedom describing matter, one can obtain exact solutions and thus acquire full knowledge of the wave function. Although this is the usual way to treat a quantum mechanical system, it turns out however to be essentially meaningless in a cosmological framework. Turning to a trajectory approach then provides an effective mea
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Chiribella, Giulio, and Hlér Kristjánsson. "Quantum Shannon theory with superpositions of trajectories." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, no. 2225 (2019): 20180903. http://dx.doi.org/10.1098/rspa.2018.0903.

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Shannon's theory of information was built on the assumption that the information carriers were classical systems. Its quantum counterpart, quantum Shannon theory, explores the new possibilities arising when the information carriers are quantum systems. Traditionally, quantum Shannon theory has focused on scenarios where the internal state of the information carriers is quantum, while their trajectory is classical. Here we propose a second level of quantization where both the information and its propagation in space–time is treated quantum mechanically. The framework is illustrated with a numbe
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Alipour, Sahar, Aurelia Chenu, Ali T. Rezakhani, and Adolfo del Campo. "Shortcuts to Adiabaticity in Driven Open Quantum Systems: Balanced Gain and Loss and Non-Markovian Evolution." Quantum 4 (September 28, 2020): 336. http://dx.doi.org/10.22331/q-2020-09-28-336.

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A universal scheme is introduced to speed up the dynamics of a driven open quantum system along a prescribed trajectory of interest. This framework generalizes counterdiabatic driving to open quantum processes. Shortcuts to adiabaticity designed in this fashion can be implemented in two alternative physical scenarios: one characterized by the presence of balanced gain and loss, the other involves non-Markovian dynamics with time-dependent Lindblad operators. As an illustration, we engineer superadiabatic cooling, heating, and isothermal strokes for a two-level system, and provide a protocol fo
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