Special Issue "Many Body Quantum Chaos"

A special issue of Condensed Matter (ISSN 2410-3896).

Deadline for manuscript submissions: 31 December 2019.

Special Issue Editor

Prof. Sandro Wimberger
E-Mail Website
Guest Editor
Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, Parco Area delle Scienze n. 7/A, I-43124 Parma, Italy
Interests: nonlinear dynamics; quantum chaos; modelling and numerical simulation of complex quantum dynamical systems; light-matter interaction; non-equilibrium transport; floquet-bloch theory; exact diagonalizations; ultracold quantum gases; (spinor) Bose-Einstein condensates; open and dissipative systems; classical and quantum localization phenomena; nonlinear and many-body tunneling; atoms in external fields; control and synchronization of multi-mode systems; quantum walks

Special Issue Information

Dear Colleagues,

The field of chaos in many-body quantum systems has a long history, going back to Wigner’s simple models for heavy nuclei. Quantum chaos is being investigated in a broad variety of experimental platforms such as heavy nuclei, driven (few-electron) atoms, ultracold quantum gases and photonic or microwave realizations. Quantum chaos nowadays plays a new and important role in many branches of physics, from condensed matter problems of many-body localization, including (pre)thermalization studies in closed and open quantum systems, and the question of dynamical stability relevant for quantum information and quantum simulation. This Special Issue addresses theory and experiment, methods from classical chaos, semiclassics, random matrix theory, as well as many-body condensed matter physics.

The Special Issue is dedicated to Prof. Shmuel Fishman, who was one of the major representatives of the field over almost four decades and who recently passed away.

Prof. Sandro Wimberger
Guest Editor

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 papers will be 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. Condensed Matter is an international peer-reviewed open access quarterly 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 1000 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

  • nonlinear dynamics
  • thermalization in closed and open quantum systems
  • Anderson localization
  • many-body localization
  • quantum transport
  • quantum chaos
  • random matrix theory
  • quantum (chaos) control
  • quantum simulation
  • atoms in external fields
  • quantum statistics
  • quantum-to-classical transition

Published Papers (4 papers)

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Research

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Open AccessArticle
Quantum State of the Fermionic Carriers in a Transport Channel Connecting Particle Reservoirs
Condens. Matter 2019, 4(4), 85; https://doi.org/10.3390/condmat4040085 - 15 Oct 2019
Abstract
We analyze the quantum state of fermionic carriers in a transport channel attached to a particle reservoir. The analysis is done from first principles by considering microscopic models of the reservoir and transport channel. In the case of infinite effective temperature of the [...] Read more.
We analyze the quantum state of fermionic carriers in a transport channel attached to a particle reservoir. The analysis is done from first principles by considering microscopic models of the reservoir and transport channel. In the case of infinite effective temperature of the reservoir we demonstrate a full agreement between the results of straightforward numerical simulations of the system dynamics and the solution of the master equation on the single-particle density matrix of the carriers in the channel. This allows us to predict the quantum state of carriers in the case where the transport channel connects two reservoirs with different chemical potentials. Full article
(This article belongs to the Special Issue Many Body Quantum Chaos)
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Open AccessArticle
Dynamical Thermalization of Interacting Fermionic Atoms in a Sinai Oscillator Trap
Condens. Matter 2019, 4(3), 76; https://doi.org/10.3390/condmat4030076 - 08 Aug 2019
Abstract
We study numerically the problem of dynamical thermalization of interacting cold fermionic atoms placed in an isolated Sinai oscillator trap. This system is characterized by a quantum chaos regime for one-particle dynamics. We show that, for a many-body system of cold atoms, the [...] Read more.
We study numerically the problem of dynamical thermalization of interacting cold fermionic atoms placed in an isolated Sinai oscillator trap. This system is characterized by a quantum chaos regime for one-particle dynamics. We show that, for a many-body system of cold atoms, the interactions, with a strength above a certain quantum chaos border given by the Åberg criterion, lead to the Fermi–Dirac distribution and relaxation of many-body initial states to the thermalized state in the absence of any contact with a thermostate. We discuss the properties of this dynamical thermalization and its links with the Loschmidt–Boltzmann dispute. Full article
(This article belongs to the Special Issue Many Body Quantum Chaos)
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Open AccessArticle
Many-Body Systems and Quantum Chaos: The Multiparticle Quantum Arnol’d Cat
Condens. Matter 2019, 4(3), 72; https://doi.org/10.3390/condmat4030072 - 22 Jul 2019
Abstract
A multi-particle extension of the Arnol’d cat Hamiltonian system is presented, which can serve as a fully dynamical model of decoherence. The behavior of the von Neumann entropy of the reduced density matrix is studied, in time and as a function of the [...] Read more.
A multi-particle extension of the Arnol’d cat Hamiltonian system is presented, which can serve as a fully dynamical model of decoherence. The behavior of the von Neumann entropy of the reduced density matrix is studied, in time and as a function of the physical parameters, with special regard to increasing the mass of the cat particle. Full article
(This article belongs to the Special Issue Many Body Quantum Chaos)
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Review

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Open AccessReview
Action Functional for a Particle with Damping
Condens. Matter 2019, 4(3), 81; https://doi.org/10.3390/condmat4030081 - 10 Sep 2019
Abstract
In this brief report we discuss the action functional of a particle with damping, showing that it can be obtained from the dissipative equation of motion through a modification which makes the new dissipative equation invariant for time reversal symmetry. This action functional [...] Read more.
In this brief report we discuss the action functional of a particle with damping, showing that it can be obtained from the dissipative equation of motion through a modification which makes the new dissipative equation invariant for time reversal symmetry. This action functional is exactly the effective action of Caldeira-Leggett model but, in our approach, it is derived without the assumption that the particle is weakly coupled to a bath of infinite harmonic oscillators. Full article
(This article belongs to the Special Issue Many Body Quantum Chaos)
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