The Experts below are selected from a list of 282 Experts worldwide ranked by ideXlab platform
David A. Huse - One of the best experts on this subject based on the ideXlab platform.
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many body localization and thermalization in quantum Statistical Mechanics
Annual Review of Condensed Matter Physics, 2015Co-Authors: Rahul Nandkishore, David A. HuseAbstract:We review some recent developments in the Statistical Mechanics of isolated quantum systems. We provide a brief introduction to quantum thermalization, paying particular attention to the eigenstate thermalization hypothesis (ETH) and the resulting single-eigenstate Statistical Mechanics. We then focus on a class of systems that fail to quantum thermalize and whose eigenstates violate the ETH: These are the many-body Anderson-localized systems; their long-time properties are not captured by the conventional ensembles of quantum Statistical Mechanics. These systems can forever locally remember information about their local initial conditions and are thus of interest for possibilities of storing quantum information. We discuss key features of many-body localization (MBL) and review a phenomenology of the MBL phase. Single-eigenstate Statistical Mechanics within the MBL phase reveal dynamically stable ordered phases, and phase transitions among them, that are invisible to equilibrium Statistical Mechanics and...
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many body localization and thermalization in quantum Statistical Mechanics
arXiv: Statistical Mechanics, 2014Co-Authors: Rahul Nandkishore, David A. HuseAbstract:We review some recent developments in the Statistical Mechanics of isolated quantum systems. We provide a brief introduction to quantum thermalization, paying particular attention to the `Eigenstate Thermalization Hypothesis' (ETH), and the resulting `single-eigenstate Statistical Mechanics'. We then focus on a class of systems which fail to quantum thermalize and whose eigenstates violate the ETH: These are the many-body Anderson localized systems; their long-time properties are not captured by the conventional ensembles of quantum Statistical Mechanics. These systems can locally remember forever information about their local initial conditions, and are thus of interest for possibilities of storing quantum information. We discuss key features of many-body localization (MBL), and review a phenomenology of the MBL phase. Single-eigenstate Statistical Mechanics within the MBL phase reveals dynamically-stable ordered phases, and phase transitions among them, that are invisible to equilibrium Statistical Mechanics and can occur at high energy and low spatial dimensionality where equilibrium ordering is forbidden.
Rahul Nandkishore - One of the best experts on this subject based on the ideXlab platform.
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many body localization and thermalization in quantum Statistical Mechanics
Annual Review of Condensed Matter Physics, 2015Co-Authors: Rahul Nandkishore, David A. HuseAbstract:We review some recent developments in the Statistical Mechanics of isolated quantum systems. We provide a brief introduction to quantum thermalization, paying particular attention to the eigenstate thermalization hypothesis (ETH) and the resulting single-eigenstate Statistical Mechanics. We then focus on a class of systems that fail to quantum thermalize and whose eigenstates violate the ETH: These are the many-body Anderson-localized systems; their long-time properties are not captured by the conventional ensembles of quantum Statistical Mechanics. These systems can forever locally remember information about their local initial conditions and are thus of interest for possibilities of storing quantum information. We discuss key features of many-body localization (MBL) and review a phenomenology of the MBL phase. Single-eigenstate Statistical Mechanics within the MBL phase reveal dynamically stable ordered phases, and phase transitions among them, that are invisible to equilibrium Statistical Mechanics and...
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many body localization and thermalization in quantum Statistical Mechanics
arXiv: Statistical Mechanics, 2014Co-Authors: Rahul Nandkishore, David A. HuseAbstract:We review some recent developments in the Statistical Mechanics of isolated quantum systems. We provide a brief introduction to quantum thermalization, paying particular attention to the `Eigenstate Thermalization Hypothesis' (ETH), and the resulting `single-eigenstate Statistical Mechanics'. We then focus on a class of systems which fail to quantum thermalize and whose eigenstates violate the ETH: These are the many-body Anderson localized systems; their long-time properties are not captured by the conventional ensembles of quantum Statistical Mechanics. These systems can locally remember forever information about their local initial conditions, and are thus of interest for possibilities of storing quantum information. We discuss key features of many-body localization (MBL), and review a phenomenology of the MBL phase. Single-eigenstate Statistical Mechanics within the MBL phase reveals dynamically-stable ordered phases, and phase transitions among them, that are invisible to equilibrium Statistical Mechanics and can occur at high energy and low spatial dimensionality where equilibrium ordering is forbidden.
Calvin C. Moore - One of the best experts on this subject based on the ideXlab platform.
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Ergodic theorem, ergodic theory, and Statistical Mechanics
Proceedings of the National Academy of Sciences of the United States of America, 2015Co-Authors: Calvin C. MooreAbstract:Abstract This perspective highlights the mean ergodic theorem established by John von Neumann and the pointwise ergodic theorem established by George Birkhoff, proofs of which were published nearly simultaneously in PNAS in 1931 and 1932. These theorems were of great significance both in mathematics and in Statistical Mechanics. In Statistical Mechanics they provided a key insight into a 60-y-old fundamental problem of the subject—namely, the rationale for the hypothesis that time averages can be set equal to phase averages. The evolution of this problem is traced from the origins of Statistical Mechanics and Boltzman's ergodic hypothesis to the Ehrenfests' quasi-ergodic hypothesis, and then to the ergodic theorems. We discuss communications between von Neumann and Birkhoff in the Fall of 1931 leading up to the publication of these papers and related issues of priority. These ergodic theorems initiated a new field of mathematical-research called ergodic theory that has thrived ever since, and we discuss some of recent developments in ergodic theory that are relevant for Statistical Mechanics.
Mark Srednicki - One of the best experts on this subject based on the ideXlab platform.
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Quantum Chaos and Statistical Mechanics
Annals of the New York Academy of Sciences, 1995Co-Authors: Mark SrednickiAbstract:We briefly review the well known connection between classical chaos and classical Statistical Mechanics, and the recently discovered connection between quantum chaos and quantum Statistical Mechanics.
Eric Winsberg - One of the best experts on this subject based on the ideXlab platform.
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Laws and chances in Statistical Mechanics
Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 2008Co-Authors: Eric WinsbergAbstract:Abstract Statistical Mechanics involves probabilities. At the same time, most approaches to the foundations of Statistical Mechanics—programs whose goal is to understand the macroscopic laws of thermal physics from the point of view of microphysics—are classical; they begin with the assumption that the underlying dynamical laws that govern the microscopic furniture of the world are (or can without loss of generality be treated as) deterministic. This raises some potential puzzles about the proper interpretation of these probabilities.
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Laws and Statistical Mechanics
Philosophy of Science, 2004Co-Authors: Eric WinsbergAbstract:This paper explores some connections between competing conceptions of scientific laws on the one hand, and a problem in the foundations of Statistical Mechanics on the other. I examine two proposals for understanding the time asymmetry of thermodynamic phenomenal: David Albert’s recent proposal and a proposal that I outline based on Hans Reichenbach’s “branch systems”. I sketch an argument against the former, and mount a defense of the latter by showing how to accommodate Statistical Mechanics to recent developments in the philosophy of scientific laws.
