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Entropy
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Non-Equilibrium Dynamics in Ultra-Cold Quantum Gases
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Non-Equilibrium Dynamics in Ultra-Cold Quantum Gases

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Non-equilibrium Phenomena".

Deadline for manuscript submissions: 20 November 2025 | Viewed by 1471

Special Issue Editors

Dr. Sayak Ray

E-Mail Website
Guest Editor
Physikalisches Institut, Rheinische Friedrich-Wilhelms-Universität Bonn, Nußallee 12, 53115 Bonn, Germany
Interests: non-equilibrium dynamics; driven dissipative systems; ultracold quantum matter; Bose–Einstein condensates; classical and quantum chaos; localization and thermalization in interacting systems
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Lamberto Rondoni

E-Mail Website
Guest Editor
Department of Mathematical Sciences, Politecnico di Torino, 10129 Torino, Italy
Interests: non-equilibrium phenomena; dynamical systems; statistical mechanics; exactly solvable models
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Non-equilibrium dynamics in quantum systems is a subject of great interest, with diverse research areas ranging from atomic and molecular physics to condensed matter systems. A number of emerging phenomena have revived interest in quantum dynamics in recent years, including driven-dissipative quantum dynamics; thermalization; many-body localization in isolated quantum systems; far-from-equilibrium quantum dynamics, particularly quench across the quantum critical point; and several intriguing phenomena exhibited by periodically driven quantum systems, such as parametric resonance.

In conventional solid-state systems, it is difficult to observe such dynamical processes directly in experiments. Following the discovery of the Bose-Einstein condensate (BEC) of a dilute atomic vapor in a seminal experiment in 1995, the many-body aspects of coherent matter wave got a new direction for exploration. Subsequently, ultracold atomic systems have become a natural platform for the study of various dynamical phenomena of interacting quantum systems.

We would like to invite you to contribute to a Special Issue of Entropy entitled “Non-equilibrium Dynamics in Ultra-Cold Quantum Gases”. Our aim is to compile scholarly articles that address a wide range of non-equilibrium physics in quantum many-body systems, from fundamental to applied issues, using theoretical, computational, or experimental methods.

You may choose our Joint Special Issue in Condensed Matter.

Dr. Sayak Ray
Prof. Dr. Lamberto Rondoni
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • non-equilibrium dynamics
  • driven-dissipative systems
  • ergodicity and thermalization
  • many-body localization
  • periodically driven systems
  • Kibble–Zurek dynamics
  • many-body quantum scar
  • non-Hermitian systems
  • exceptional point
  • quantum chaos and random matrix theory (RMT)

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Published Papers (2 papers)

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Research

14 pages, 1641 KiB  
Article
Measurement-Induced Dynamical Quantum Thermalization
by Marvin Lenk, Sayak Biswas, Anna Posazhennikova and Johann Kroha
Entropy 2025, 27(6), 636; https://doi.org/10.3390/e27060636 - 14 Jun 2025
Viewed by 404
Abstract
One of the fundamental problems of quantum statistical physics is how an ideally isolated quantum system can ever reach thermal equilibrium behavior despite the unitary time evolution of quantum-mechanical systems. Here, we study, via explicit time evolution for the generic model system of [...] Read more.
One of the fundamental problems of quantum statistical physics is how an ideally isolated quantum system can ever reach thermal equilibrium behavior despite the unitary time evolution of quantum-mechanical systems. Here, we study, via explicit time evolution for the generic model system of an interacting, trapped Bose gas with discrete single-particle levels, how the measurement of one or more observables subdivides the system into observed and non-observed Hilbert subspaces and the tracing over the non-measured quantum numbers defines an effective, thermodynamic bath, induces the entanglement of the observed Hilbert subspace with the bath, and leads to a bi-exponential approach of the entanglement entropy and of the measured observables to thermal equilibrium behavior as a function of time. We find this to be more generally fulfilled than in the scenario of the eigenstate thermalization hypothesis (ETH), namely for both local particle occupation numbers and non-local density correlation functions, and independent of the specific initial quantum state of the time evolution. Full article
(This article belongs to the Special Issue Non-Equilibrium Dynamics in Ultra-Cold Quantum Gases)
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14 pages, 15596 KiB  
Article
Quasi-Discrete Time Crystals in the Quasiperiodically Driven Lipkin–Meshkov–Glick Model
by Sk Anisur, Wensheng Vincent Liu and Sayan Choudhury
Entropy 2025, 27(6), 609; https://doi.org/10.3390/e27060609 - 7 Jun 2025
Viewed by 556
Abstract
A discrete time crystal (DTC) is a remarkable non-equilibrium phase of matter characterized by the persistent sub-harmonic oscillations of physical observables in periodically driven many-body systems. Motivated by the question of whether such a temporal periodic order can persist when the drive becomes [...] Read more.
A discrete time crystal (DTC) is a remarkable non-equilibrium phase of matter characterized by the persistent sub-harmonic oscillations of physical observables in periodically driven many-body systems. Motivated by the question of whether such a temporal periodic order can persist when the drive becomes aperiodic, we investigate the dynamics of a Lipkin–Meshkov–Glick model under quasi-periodic Thue–Morse (TM) driving. Intriguingly, this infinite-range-interacting spin system can host “quasi-discrete time crystal” (quasi-DTC) phases characterized by periodic oscillations of the magnetization. We demonstrate that our model can host the quasi-DTC analog of both period-doubling DTCs as well as higher-order DTCs. These quasi-DTCs are robust to various perturbations, and they originate from the interplay of “all-to-all” interactions and the recursive structure of the TM sequence. Our results suggest that quasi-periodic driving protocols can provide a promising route for realizing novel non-equilibrium phases of matter in long-range interacting systems. Full article
(This article belongs to the Special Issue Non-Equilibrium Dynamics in Ultra-Cold Quantum Gases)
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