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Probabilistic cellular automata for interacting fermionic quantum field theories
A classical local cellular automaton can describe an interacting quantum field theory for fermions. We construct a simple classical automaton for a particular version of the Thirring model with imaginary coupling. This interacting fermionic quantum field
C. Wetterich
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Quantum–Classical Mechanics: Statistical Approach to Molecular Collisions
The chaotic dynamics of the transient state in molecular and physicochemical transitions in quantum–classical mechanics is considered in relation to the problem of redistribution of the vibrational–rotational energy of polyatomic molecules M and M1 in ...
Vladimir V. Egorov
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Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems [PDF]
We review selected advances in the theoretical understanding of complex quantum many-body systems with regard to emergent notions of quantum statistical mechanics.
C. Gogolin, J. Eisert
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Statistical mechanics of integrable quantum spin systems
This script is based on the notes the author prepared to give a set of six lectures at the Les Houches School "Integrability in Atomic and Condensed Matter Physics" in the summer of 2018.
Frank Göhmann
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Quantum Mechanics: Statistical Balance Prompts Caution in Assessing Conceptual Implications
Throughout quantum mechanics there is statistical balance, in the collective response of an ensemble of systems to differing measurement types. Statistical balance is a core feature of quantum mechanics, underlying quantum mechanical states, and not yet ...
Brian Drummond
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From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics [PDF]
This review gives a pedagogical introduction to the eigenstate thermalization hypothesis (ETH), its basis, and its implications to statistical mechanics and thermodynamics. In the first part, ETH is introduced as a natural extension of ideas from quantum
L. D'Alessio +3 more
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Quantum statistical mechanics of vortices
Abstract The asymptotic partition function for quantized abelian Higgs vortices at high temperature T is found to leading and subleading order, and from this the equation of state of the vortex gas is derived, including the first quantum correction.
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Statistical origin of quantum mechanics [PDF]
The one particle quantum mechanics is considered in the frame of a N-body classical kinetics in the phase space. Within this framework, the scenario of a subquantum structure for the quantum particle, emerges naturally, providing an ontological support to the orthodox quantum mechanics.
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Given the algebra of observables of a quantum system subject to selection rules, a state can be represented by different density matrices. As a result, different von Neumann entropies can be associated with the same state.
Paolo Facchi +2 more
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Heat-exchange statistics in driven open quantum systems
As the dimensions of physical systems approach the nanoscale, the laws of thermodynamics must be reconsidered due to the increased importance of fluctuations and quantum effects.
S Gasparinetti +3 more
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