Entropy exchange and thermal fluctuations in the Jaynes-Cummings model
- URL: http://arxiv.org/abs/2107.08079v2
- Date: Mon, 8 Nov 2021 17:34:31 GMT
- Title: Entropy exchange and thermal fluctuations in the Jaynes-Cummings model
- Authors: Jorge David Casta\~no-Yepes
- Abstract summary: The time-dependence of the quantum entropy for a two-level atom interacting with a single-cavity mode is computed.
The gamma and the multi-level distribution functions are used to introduce the inverse temperature fluctuations.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The time-dependence of the quantum entropy for a two-level atom interacting
with a single-cavity mode is computed using the Jaynes-Cummings model, when the
initial state of the radiation field is prepared in a thermal state with
temperature fluctuations. In order to describe the out-of-equilibrium
situation, the Super Statistics approximation is implemented so that the gamma
and the multi-level distribution functions are used to introduce the inverse
temperature fluctuations. In the case of the gamma distribution, paralleling
the Tsallis non-additive formalism, the entropy for the system is computed with
the $q$-logarithm prescription, and the impact of the initial state of the atom
is also taken into account. The results show that, in the first distribution,
the $q$-parameter (related to the thermal fluctuations) modifies the partial
entropies appreciably. In contrast, the way the inverse temperatures are
distributed in the second one may lead to changes in the entropy functions.
Related papers
- Photoinduced prethermal order parameter dynamics in the two-dimensional
large-$N$ Hubbard-Heisenberg model [77.34726150561087]
We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model.
We simulate the light-induced transition between two competing phases.
arXiv Detail & Related papers (2022-05-13T13:13:31Z) - Non-equilibrium pre-thermal states in a two-dimensional photon fluid [0.0]
We observe the formation of a pre-thermal state in a non-equilibrium, two-dimensional (2D) fluid of light after an interaction quench.
Results suggest the existence of non-equilibrium precursors for thermodynamic phase transitions.
arXiv Detail & Related papers (2022-03-14T18:00:25Z) - Irreversible Entropy Production rate in a parametrically
driven-dissipative System: The Role of Self-Correlation between Noncommuting
Observables [0.0]
We explore the emergence of the Wigner entropy production rate in the stationary state of a two-mode Gaussian system.
One of the bosonic modes evolves into the squeezed-thermal state because of the parametric amplification process.
arXiv Detail & Related papers (2022-01-10T16:38:44Z) - Open-system approach to nonequilibrium quantum thermodynamics at
arbitrary coupling [77.34726150561087]
We develop a general theory describing the thermodynamical behavior of open quantum systems coupled to thermal baths.
Our approach is based on the exact time-local quantum master equation for the reduced open system states.
arXiv Detail & Related papers (2021-09-24T11:19:22Z) - Stochastic thermodynamics of a finite quantum system coupled to two heat
baths [0.0]
We consider a situation where an $N$-level system (NLS) is coupled successively to two heat baths with different temperatures.
We conclude that heat and entropy is flowing from the hot bath to the cold one.
arXiv Detail & Related papers (2021-08-05T18:40:47Z) - Entropy Production and the Role of Correlations in Quantum Brownian
Motion [77.34726150561087]
We perform a study on quantum entropy production, different kinds of correlations, and their interplay in the driven Caldeira-Leggett model of quantum Brownian motion.
arXiv Detail & Related papers (2021-08-05T13:11:05Z) - Qubit thermodynamics far from equilibrium: two perspectives about the
nature of heat and work in the quantum regime [68.8204255655161]
We develop an alternative theoretical framework for the thermodynamic analysis of two-level systems.
We observe the appearance of a new term of work, which represents the energy cost of rotating the Bloch vector in presence of the external field that defines the local Hamiltonian.
In order to illustrate our findings we study, from both perspectives, matter-radiation interaction processes for two different systems.
arXiv Detail & Related papers (2021-03-16T09:31:20Z) - Quantum heat statistics with time-evolving matrix product operators [0.0]
We present a numerically exact method to compute the full counting statistics of heat transfer in non-Markovian open quantum systems.
We show that system-reservoir correlations make a significant contribution to the heat statistics at low temperature.
We also demonstrate a fluctuation-dissipation relation connecting the mean and variance of the heat distribution at high temperature.
arXiv Detail & Related papers (2020-08-14T17:51:25Z) - Probing eigenstate thermalization in quantum simulators via
fluctuation-dissipation relations [77.34726150561087]
The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems.
Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations.
Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
arXiv Detail & Related papers (2020-07-20T18:00:02Z) - Out-of-equilibrium quantum thermodynamics in the Bloch sphere:
temperature and internal entropy production [68.8204255655161]
An explicit expression for the temperature of an open two-level quantum system is obtained.
This temperature coincides with the environment temperature if the system reaches thermal equilibrium with a heat reservoir.
We show that within this theoretical framework the total entropy production can be partitioned into two contributions.
arXiv Detail & Related papers (2020-04-09T23:06:43Z) - Quantum thermodynamics of two bosonic systems [0.0]
We study the energy exchange between two bosonic systems that interact via bilinear transformations in the mode operators.
This work finds its roots in a very recent formulation of quantum thermodynamics.
arXiv Detail & Related papers (2020-01-14T09:19:02Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.