Evolution of the quantized field coupled to a thermal bath: a phase space approach

• URL: http://arxiv.org/abs/2010.09944v1
• Date: Tue, 20 Oct 2020 00:57:58 GMT
• Title: Evolution of the quantized field coupled to a thermal bath: a phase space approach
• Abstract summary: We present an alternative method for describing the evolution of a mode of the quantized electromagnetic field in contact with a finite temperature thermal bath. We use the expansion of the field density operator in terms of coherent states and the related Glauber-Sudarshan $P$-function in phase space.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present an alternative method for describing the evolution of a mode of the quantized electromagnetic field in contact with a finite temperature thermal bath. We use the expansion of the field density operator in terms of coherent states and the related Glauber-Sudarshan $P$-function in phase space. The method allows us to obtain analytical expressions of the system's time-evolved $P$-function without needing to solve the corresponding master equation.

Related papers

• Phase-space approach to cavity field dynamics in a squeezed thermal reservoir [0.0]
  We study the evolution of the cavity field in a single-mode cavity field coupled to a thermal bath. We derive a compact analytical expression for the time-dependent $P$-function for arbitrary initial cavity field states. We obtain analytical expressions, as a function of time, for some statistical properties of the cavity field.
  arXiv  Detail & Related papers  (2025-04-26T01:48:28Z)
• 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)
• Finite-temperature vibronic spectra from the split-operator coherence thermofield dynamics [0.0]
  We present a numerically exact approach for evaluating vibrationally resolved electronic spectra at finite temperatures. We show that the finite-temperature spectra obtained with the coherence thermofield dynamics in a Morse potential agree exactly with those computed by Boltzmann-averaging the spectra of individual vibrational levels.
  arXiv  Detail & Related papers  (2023-11-16T16:33:36Z)
• Counting Phases and Faces Using Bayesian Thermodynamic Integration [77.34726150561087]
  We introduce a new approach to reconstruction of the thermodynamic functions and phase boundaries in two-parametric statistical mechanics systems. We use the proposed approach to accurately reconstruct the partition functions and phase diagrams of the Ising model and the exactly solvable non-equilibrium TASEP.
  arXiv  Detail & Related papers  (2022-05-18T17:11:23Z)
• 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)
• Accessing the topological Mott insulator in cold atom quantum simulators with realistic Rydberg dressing [58.720142291102135]
  We investigate a realistic scenario for the quantum simulation of such systems using cold Rydberg-dressed atoms in optical lattices. We perform a detailed analysis of the phase diagram at half- and incommensurate fillings, in the mean-field approximation. We furthermore study the stability of the phases with respect to temperature within the mean-field approximation.
  arXiv  Detail & Related papers  (2022-03-28T14:55:28Z)
• Renormalization group for open quantum systems using environment temperature as flow parameter [0.0]
  We present the $T$-flow renormalization group method, which computes the memory kernel for the density-operator evolution of an open quantum system. We benchmark in the stationary limit, readily accessible in real-time for voltages on the order of the coupling or larger. We analytically show that the short-time dynamics of both local and non-local observables follow a universal temperature-independent behaviour.
  arXiv  Detail & Related papers  (2021-11-14T11:52:27Z)
• 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)
• Adiabatic Sensing Technique for Optimal Temperature Estimation using Trapped Ions [64.31011847952006]
  We propose an adiabatic method for optimal phonon temperature estimation using trapped ions. The relevant information of the phonon thermal distributions can be transferred to the collective spin-degree of freedom. We show that each of the thermal state probabilities is adiabatically mapped onto the respective collective spin-excitation configuration.
  arXiv  Detail & Related papers  (2020-12-16T12:58:08Z)
• 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)
• Approximate thermofield dynamics of interacting fermions [0.0]
  We analyze the many-particle Schrodinger equation for fermions in a thermal ensemble by introducing an exponential operator expansion. The expansion is optimized variationally at each time step through changes in the basis of excitations. We generate approximate differential equations to solve the time dependent problem, and can also be used to cool the system in imaginary time.
  arXiv  Detail & Related papers  (2020-01-08T19:42:23Z)

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.