Special Issue "Thermalization in Isolated Quantum Systems"
A special issue of Entropy (ISSN 1099-4300).
Deadline for manuscript submissions: 31 July 2019
The field of mesoscopic physics is going through rapid development with contributions from many subfields of science including atomic, molecular and nuclear physics, condensed matter physics on the micro- and nano-scale, biophysics and quantum information. In all cases, we have to deal with relatively small systems of interacting constituents where statistical features are clearly emerging being described in terms of temperature, entropy, etc., while at the same time one still can study, theoretically and experimentally, individual quantum states.
If traditional statistical physics usually considered statistical ensembles in the limit of infinitely large volume and particle number, and the equilibrium thermalization was reached due to the interaction with a thermostat, in a small system with a finite number of particles thermal equilibrium is established as a result of interparticle interactions which, at high level density, leads to chaotic mixing of simple many-body configurations. Historically this follows the line from Boltzmann to Landau and Lifshitz who stressed in their Statistical Physics that statistical properties can be observed and studied on the level of individual quantum states. This direction of science addresses the emergence of thermodynamic phenomena from quantum mechanics and quantum chaos creating in a sense a new paradigm of statistical mechanics.
This emerging field encompasses different bright ideas and very wide practical applications; its interdisciplinary character leads to different viewpoints and illuminating discussions. We, therefore, solicit contribution to this Special Issue on a new branch of quantum physics and its applications.Prof. Dr. Vladimir Zelevinsky
Prof. Dr. Felix Izrailev
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. Entropy is an international peer-reviewed open access monthly journal published by MDPI.
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- Quantum and classical chaos
- Thermalization in isolated quantum systems
- Quantum signatures of thermalization
- Strength functions and thermalization
- Statistics of particles in quantum thermalized systems
- Quantum thermalization and collective phenomena
- Pecularities of small systems
- Various definitions of entropy and temperature
- Thermalization in open systems
- Time development of thermalization
- Relaxation to equilibrium
- Experimental observation of quantum thermalization
- Quench dynamics
- Fluctuations in isolated systems
The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.
Authors: Alexander L. Burin, Andrii O.Maksymov, Ma'ayan Schmidt, Igor V.Rubtsov, Ilya Ya.Polishchuk
Tentative Title: Chaotic dynamic in a quantum Fermi-Pasta-Ulam problem
Tentative Abstract: We investigate the emergence of chaotic dynamics and thermalization in a quantum beta Fermi–Pasta–Ulam(FPU) problem applying exact diagonalizationnumerical methods. Integrable and chaotic phases are identified using energy level statistics showing either Poisson or Wigner-Dyson behaviors at lower or higher energies, respectively. The crossover energy between two phases decreases with increasing anharmonicinteractions and number of atoms similarly to that in a classical counterpart problem until the effective temperature exceeds the Debye temperature. At lower temperatures (larger sizes) where the transition between integrable and chaotic regimes is essentially of a quantum mechanical nature the weakening of both dependencies is found. The qualitative interpretation of these observations is proposed using the hot spot scenario of integrable dynamic breakdown. The impact of a dynamic phase on a thermal conductivity of polymers described by the quantum FPU model is discussed.