Maxwell relation between entropy and atom-atom pair correlation

• URL: http://arxiv.org/abs/2405.04159v2
• Date: Sun, 8 Sep 2024 06:50:04 GMT
• Title: Maxwell relation between entropy and atom-atom pair correlation
• Authors: Raymon S. Watson, Caleb Coleman, Karen V. Kheruntsyan,
• Abstract summary: We derive a thermodynamic Maxwell relation between the local pair correlation and the entropy of an ultracold Bose gas in one dimension (1D) Our calculations can be viewed as a proof-of-principle demonstration of an experimental method to deduce the entropy of a quantum gas from the measured atom-atom correlations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: For many-particle systems with short-range interactions the local (same point) particle-particle pair correlation function represents a thermodynamic quantity that can be calculated using the Hellmann-Feynman theorem. Here we exploit this property to derive a thermodynamic Maxwell relation between the local pair correlation and the entropy of an ultracold Bose gas in one dimension (1D). To demonstrate the utility of this Maxwell relation, we apply it to the computational formalism of the stochastic projected Gross-Pitaevskii equation (SPGPE) to determine the entropy of a finite-temperature 1D Bose gas from its atom-atom pair correlation function. Such a correlation function is easy to compute numerically within the SPGPE and other formalisms, which is unlike computing the entropy itself. Our calculations can be viewed as a numerical experiment that serves as a proof-of-principle demonstration of an experimental method to deduce the entropy of a quantum gas from the measured atom-atom correlations.

Related papers

• Analytic thermodynamic properties of the Lieb-Liniger gas [0.0]
  We present a review on the state-of-the-art of the approximate analytic approaches describing the finite-temperature thermodynamic quantities of the Lieb-Liniger model of the 1D Bose gas. This paradigmatic model of quantum many-body-theory plays an important role in many areas of physics.
  arXiv  Detail & Related papers  (2024-04-09T07:50:05Z)
• How to measure the free energy and partition function from atom-atom correlations [0.0]
  We focus on the one-dimensional (1D) Bose gas described by the integrable Lieb-Liniger model. The proposed approach relies on deducing the Helmholtz or Landau free energy directly from measurements of local atom-atom correlations. We find excellent agreement with the exact results based on the thermodynamic Bethe ansatz available for this integrable model.
  arXiv  Detail & Related papers  (2023-09-05T21:31:50Z)
• 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)
• Building Entanglement Entropy out of Correlation Functions for Interacting Fermions [0.0]
  We provide a prescription to construct R'enyi and von Neumann entropy of a system of interacting fermions. We show that R'enyi entanglement entropy of interacting fermions in arbitrary dimensions can be represented by a Schwinger Keldysh free energy. We show how this construction can be extended for von-Neumann entropy through analytic continuation.
  arXiv  Detail & Related papers  (2023-06-13T17:58:48Z)
• Towards Entanglement Entropy of Random Large-N Theories [0.0]
  We use the replica approach and the notion of shifted Matsubara frequency to compute von Neumann and R'enyi entanglement entropies. We demonstrate the flexibility of the method by applying it to examples of a two-site problem in presence of decoherence.
  arXiv  Detail & Related papers  (2023-03-03T18:21:54Z)
• 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)
• Entanglement Entropy of Non-Hermitian Free Fermions [59.54862183456067]
  We study the entanglement properties of non-Hermitian free fermionic models with translation symmetry. Our results show that the entanglement entropy has a logarithmic correction to the area law in both one-dimensional and two-dimensional systems.
  arXiv  Detail & Related papers  (2021-05-20T14:46:09Z)
• 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)
• 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)
• 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 correlation entropy [0.0]
  We study quantum coarse-grained entropy and demonstrate that the gap in entropy between local and global coarse-grainings is a natural generalization of entanglement entropy to mixed states and multipartite systems. This "quantum correlation entropy" $Srm QC$ is additive over independent systems, measures total nonclassical correlations, and reduces to the entanglement entropy for bipartite pure states.
  arXiv  Detail & Related papers  (2020-05-11T20:13:43Z)

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.