Quadratic Hamiltonian approach to heat transport in fermionic systems
- URL: http://arxiv.org/abs/2506.16122v1
- Date: Thu, 19 Jun 2025 08:17:18 GMT
- Title: Quadratic Hamiltonian approach to heat transport in fermionic systems
- Abstract summary: We investigate the problem of quantum heat transport, based on the quadratic fermionic systems with help of the Peschel trick of single-particle correlation functions.<n>The efficient numerical method is applied to the particular case of a single mode heat valve and the results are compared to analytical formulae.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-sa/4.0/
- Abstract: We investigate the problem of quantum heat transport, based on the quadratic fermionic systems with help of the Peschel trick of single-particle correlation functions. The efficient numerical method is applied to the particular case of a single mode heat valve and the results are compared to analytical formulae. Comparing several configurations and parameters we perform the systematic analysis of the method to most efficiently and accurately describe the simple quantum heat valve system.
Related papers
- Heat transport in driven quantum systems: Comparison between the Floquet-Redfield equation and the master equation in the instantaneous eigenbasis [36.94429692322632]
Heat transport in periodically driven quantum systems is studied.<n> Numerical and analytical results are provided for the driven spin boson-model.<n>The adiabatic regime, which is relevant to thermal machines, is discussed.
arXiv Detail & Related papers (2026-08-13T14:35:10Z) - Finite-temperature entanglement and coherence in asymmetric bosonic Josephson junctions [0.0]
We investigate the finite-temperature properties of a bosonic Josephson junction composed of N interacting atoms confined by a quasi-one-dimensional asymmetric double-well potential.<n>We compute numerically the spectral decomposition of the statistical ensemble of states, the thermodynamic and entanglement entropies, the population imbalance.<n>We analyze their dependence on the system parameters, showing in particular how finite temperature and on-site energy asymmetry affect the entanglement and coherence properties of the system.
arXiv Detail & Related papers (2025-06-06T16:36:45Z) - Heat semigroup representation of Laplacian [0.0]
This work introduces novel numerical algorithms for computational quantum mechanics.<n>The key advantage of this approach lies in its computational efficiency.<n>The proposed multiwavelet-based Laplacian approximation is tested through two fundamental quantum chemistry applications.
arXiv Detail & Related papers (2025-01-15T14:17:13Z) - Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model [44.99833362998488]
We analytically study the dynamical decoupling of a two-level system coupled with a structured bosonic environment.
We find sufficient conditions under which dynamical decoupling works for such systems.
Our bounds reproduce the correct scaling in various relevant system parameters.
arXiv Detail & Related papers (2024-09-24T04:58:28Z) - A novel scheme for modelling dissipation or thermalization in open quantum systems [0.0]
We introduce a novel method for investigating dissipation (gain) and thermalization in an open quantum system.
To demonstrate the efficiency and significance of the method, we apply it to some ubiquitous open quantum systems.
arXiv Detail & Related papers (2024-04-16T05:20:30Z) - Calculating non-linear response functions for multi-dimensional
electronic spectroscopy using dyadic non-Markovian quantum state diffusion [68.8204255655161]
We present a methodology for simulating multi-dimensional electronic spectra of molecular aggregates with coupling electronic excitation to a structured environment.
A crucial aspect of our approach is that we propagate the NMQSD equation in a doubled system Hilbert space but with the same noise.
arXiv Detail & Related papers (2022-07-06T15:30:38Z) - Experimental verification of fluctuation relations with a quantum
computer [68.8204255655161]
We use a quantum processor to experimentally validate a number of theoretical results in non-equilibrium quantum thermodynamics.
Our experiments constitute the experimental basis for the understanding of the non-equilibrium energetics of quantum computation.
arXiv Detail & Related papers (2021-06-08T14:16:12Z) - Exact thermal properties of free-fermionic spin chains [68.8204255655161]
We focus on spin chain models that admit a description in terms of free fermions.
Errors stemming from the ubiquitous approximation are identified in the neighborhood of the critical point at low temperatures.
arXiv Detail & Related papers (2021-03-30T13:15:44Z) - Determination of the critical exponents in dissipative phase
transitions: Coherent anomaly approach [51.819912248960804]
We propose a generalization of the coherent anomaly method to extract the critical exponents of a phase transition occurring in the steady-state of an open quantum many-body system.
arXiv Detail & Related papers (2021-03-12T13:16:18Z) - Spectroscopy and critical quantum thermometry in the ultrastrong
coupling regime [0.0]
We show that depending on the initial state of the coupled system, the vacuum Rabi splitting manifests significant asymmetries.
We obtain the ultimate bounds on the estimation of temperature that remain valid in the ultrastrong coupling regime.
arXiv Detail & Related papers (2020-09-04T03:29:05Z) - Method of spectral Green functions in driven open quantum dynamics [77.34726150561087]
A novel method based on spectral Green functions is presented for the simulation of driven open quantum dynamics.
The formalism shows remarkable analogies to the use of Green functions in quantum field theory.
The method dramatically reduces computational cost compared with simulations based on solving the full master equation.
arXiv Detail & Related papers (2020-06-04T09:41:08Z) - Quantum computation of thermal averages in the presence of a sign
problem [45.82374977939355]
We illustrate the application of Quantum Computing techniques to the investigation of the thermodynamical properties of a simple system.
We show how quantum algorithms completely solve the problem, and discuss how this can apply to more complex systems of physical interest.
arXiv Detail & Related papers (2020-01-15T14:01:11Z)
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.