Nonadiabatic evolution and thermodynamics of a time-dependent open
quantum system
- URL: http://arxiv.org/abs/2105.00040v2
- Date: Wed, 12 May 2021 06:48:41 GMT
- Title: Nonadiabatic evolution and thermodynamics of a time-dependent open
quantum system
- Authors: Dan Wang, Dazhi Xu
- Abstract summary: We investigate the dynamic evolution and thermodynamic process of a driven quantum system immersed in a finite-temperature heat bath.
A Born-Markovian quantum master equation is formally derived for the time-dependent system with discrete energy levels.
- Score: 4.891858328401626
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We investigate the dynamic evolution and thermodynamic process of a driven
quantum system immersed in a finite-temperature heat bath. A Born-Markovian
quantum master equation is formally derived for the time-dependent system with
discrete energy levels. This quantum master equation can be applied to
situations with a broad range of driving speeds and bath temperatures and thus
be used to study the finite-time quantum thermodynamics even when nonadiabatic
transition and dissipation coexist. The dissipative Landau-Zener model is
analyzed as an example. The population evolution and transition probability of
the model reveal the importance of the competition between driving and
dissipation beyond the adiabatic regime. Moreover, local maximums of
irreversible entropy production occur at intermediate sweep velocity and finite
temperature, which the low-dissipation model cannot describe.
Related papers
- Stochastic Thermodynamics at the Quantum-Classical Boundary: A Self-Consistent Framework Based on Adiabatic-Response Theory [0.0]
Microscopic thermal machines promise to play an important role in future quantum technologies.
Making such devices widely applicable will require effective strategies to channel their output into easily accessible storage systems like classical degrees of freedom.
We develop a self-consistent theoretical framework that makes it possible to model such quantum-classical hybrid devices in a thermodynamically consistent manner.
arXiv Detail & Related papers (2024-04-15T20:13:42Z) - Quantum stochastic thermodynamics in the mesoscopic-leads formulation [0.0]
We introduce a numerical method to sample the distributions of charge, heat, and entropy production in open quantum systems.
Our method exploits the mesoscopic-leads formulation, where macroscopic reservoirs are modeled by a finite collection of modes.
arXiv Detail & Related papers (2024-04-09T16:17:48Z) - Thermodynamics of adiabatic quantum pumping in quantum dots [50.24983453990065]
We consider adiabatic quantum pumping through a resonant level model, a single-level quantum dot connected to two fermionic leads.
We develop a self-contained thermodynamic description of this model accounting for the variation of the energy level of the dot and the tunnelling rates with the thermal baths.
arXiv Detail & Related papers (2023-06-14T16:29:18Z) - Emergent pair localization in a many-body quantum spin system [0.0]
Generically, non-integrable quantum systems are expected to thermalize as they comply with the Eigenstate Thermalization Hypothesis.
In the presence of strong disorder, the dynamics can possibly slow down to a degree that systems fail to thermalize on experimentally accessible timescales.
We study an ensemble of Heisenberg spins with a tunable distribution of random coupling strengths realized by a Rydberg quantum simulator.
arXiv Detail & Related papers (2022-07-28T16:31:18Z) - Quantum thermodynamics with fast driving and strong coupling via the mesoscopic leads approach [0.0]
Understanding the thermodynamics of driven quantum systems strongly coupled to thermal baths is a central focus of quantum thermodynamics and mesoscopic physics.
The mesoscopic leads approach was recently generalised to steady state thermal machines and has the ability to replicate Landauer B"uttiker theory in the non-interacting limit.
arXiv Detail & Related papers (2022-06-02T15:15:59Z) - Gauge Quantum Thermodynamics of Time-local non-Markovian Evolutions [77.34726150561087]
We deal with a generic time-local non-Markovian master equation.
We define current and power to be process-dependent as in classical thermodynamics.
Applying the theory to quantum thermal engines, we show that gauge transformations can change the machine efficiency.
arXiv Detail & Related papers (2022-04-06T17:59:15Z) - Fast Thermalization from the Eigenstate Thermalization Hypothesis [69.68937033275746]
Eigenstate Thermalization Hypothesis (ETH) has played a major role in understanding thermodynamic phenomena in closed quantum systems.
This paper establishes a rigorous link between ETH and fast thermalization to the global Gibbs state.
Our results explain finite-time thermalization in chaotic open quantum systems.
arXiv Detail & Related papers (2021-12-14T18:48:31Z) - 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) - Evolution of a Non-Hermitian Quantum Single-Molecule Junction at
Constant Temperature [62.997667081978825]
We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments.
We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
arXiv Detail & Related papers (2021-01-21T14:33:34Z) - Analog cosmological reheating in an ultracold Bose gas [58.720142291102135]
We quantum-simulate the reheating-like dynamics of a generic cosmological single-field model in an ultracold Bose gas.
Expanding spacetime as well as the background oscillating inflaton field are mimicked in the non-relativistic limit.
The proposed experiment has the potential of exploring the evolution up to late times even beyond the weak coupling regime.
arXiv Detail & Related papers (2020-08-05T18:00:26Z)
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.