Irreversible Entropy Production rate in a parametrically driven-dissipative System: The Role of Self-Correlation between Noncommuting Observables

• URL: http://arxiv.org/abs/2201.03443v2
• Date: Fri, 20 May 2022 16:32:59 GMT
• Title: Irreversible Entropy Production rate in a parametrically driven-dissipative System: The Role of Self-Correlation between Noncommuting Observables
• Authors: Sareh Shahidani and Morteza Rafiee
• Abstract summary: 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.
• Score: 0.0
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: In this paper, we explore the emergence of the Wigner entropy production rate in the stationary state of a two-mode Gaussian system. The interacting modes dissipate into different local thermal baths. Also, one of the bosonic modes evolves into the squeezed-thermal state because of the parametric amplification process. Using the Heisenberg-Langevin approach, combined with quantum phase space formulation, we get an analytical expression for the steady-state Wigner entropy production rate. It contains two key terms. The first one is an Onsager-like expression that describes heat flow within the system. The second term resulted from vacuum fluctuations of the baths. Analyses show that self-correlation between the quadratures of the parametrically amplified mode pushes the mode towards the thermal squeezed state. It increases vacuum entropy production of the total system and reduces the heat current between the modes. The results imply that, unlike other previous proposals, squeezing can constrain the efficiency of actual non-equilibrium heat engines by irreversible flows.

Related papers

• Analytic solution to the nonlinear generation of squeezed states in a thermal bath [0.0]
  We show that the exact solution is a squeezed thermal state, where thermal photons arise both from loss and from the thermal bath. We apply this solution under different pump conditions and show in detail how the thermal environment reduces quadrature squeezing.
  arXiv  Detail & Related papers  (2024-06-26T18:57:13Z)
• Quantum chaos and thermalization in the two-mode Dicke model [77.34726150561087]
  We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model. The two-mode Dicke model exhibits normal to superradiant quantum phase transition. We show that the temporal fluctuations of the expectation value of the collective spin observable around its average are small and decrease with the effective system size.
  arXiv  Detail & Related papers  (2022-07-08T11:16:29Z)
• 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)
• Simulating spin measurement with a finite heat bath model for the environment [2.8360662552057323]
  Spin measurement is studied as a unitary time evolution of the spin coupled to an environment representing the meter and the apparatus. We perform numerical simulations of projective measurements of the polarization, with the spins prepared initially in a neutral pure state. The expected quantum randomness in the final state is manifest in our simulations as a tendency of the spin to approach either one of the two eigenstates of the measured spin operator.
  arXiv  Detail & Related papers  (2022-04-24T02:01:46Z)
• Floquet-heating-induced Bose condensation in a scar-like mode of an open driven optical-lattice system [62.997667081978825]
  We show that the interplay of bath-induced dissipation and controlled Floquet heating can give rise to non-equilibrium Bose condensation. Our predictions are based on a microscopic model that is solved using kinetic equations of motion derived from Floquet-Born-Markov theory.
  arXiv  Detail & Related papers  (2022-04-14T17:56:03Z)
• Thermodynamics of decoherence [0.0]
  In a pure decoherence process, the system Hamiltonian is a constant of motion and there is no direct energy exchange between the system and its surroundings. We show that this leads to nontrivial heat dissipation as a result of decoherence alone.
  arXiv  Detail & Related papers  (2021-07-29T17:51:16Z)
• Entropy exchange and thermal fluctuations in the Jaynes-Cummings model [0.0]
  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.
  arXiv  Detail & Related papers  (2021-07-16T19:02:19Z)
• 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)
• 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)
• 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)
• 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.