Open Systems' Density Matrix Properties in a Time Coarsened Formalism

Asher Yahalom; Robert Englman

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Open Systems' Density Matrix Properties in a Time Coarsened Formalism

Robert Englman, Asher Yahalom

Statistical Mechanics · Submitted 20 Apr 2015

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In this work we introduce and prove the need for a selective and non-uniform time-sampling, whose form depends on the properties (whether thermalized or not) of the bath.

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What the abstract itself states, as probabilities: claims first 0.08 · states limitation 0.18 · human participants 0.01 · controlled comparison 0.20 · randomized assignment 0.01 · states quantitative result 0.13 · compares with prior results 0.90 · mentions code or data availability 0.02.

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arXiv listing abstract v1. Results and the main claim are underlined; show every role.

The concept of time-coarsened density matrix for open systems has frequently featured in equilibrium and non-equilibrium statistical mechanics, without being probed as to the detailed consequences of the time averaging procedure. In this work we introduce and prove the need for a selective and non-uniform time-sampling, whose form depends on the properties (whether thermalized or not) of the bath. It is also applicable when an open microscopic sub-system is coupled to another {\it finite} system. By use of a time-periodic minimal coupling model between these two systems, we present detailed quantitative consequences of time coarsening, which include initial state independence of equilibration, deviations from long term averages, their environment size dependence and the approach to classicality, as measured by a Leggett-Garg type inequality. An interacting multiple qubit model affords comparison between the time integrating procedure and the more conventional environment tracing method.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The concept of time-coarsened density matrix for open systems has frequently featured in equilibrium and non-equilibrium statistical mechanics, without being probed as to the detailed consequences of the time averaging procedure.	gap 0.52	0.04	0.03	asserted 1.00
s1	In this work we introduce and prove the need for a selective and non-uniform time-sampling, whose form depends on the properties (whether thermalized or not) of the bath.	contribution 0.98	0.92	0.43	asserted 1.00
s2	It is also applicable when an open microscopic sub-system is coupled to another {\it finite} system.	contribution 0.72	0.29	0.06	asserted 0.94
s3	By use of a time-periodic minimal coupling model between these two systems, we present detailed quantitative consequences of time coarsening, which include initial state independence of equilibration, deviations from long term averages, their environment size dependence and the approach to classicality, as measured by a Leggett-Garg type inequality.	result 0.64	0.95	0.54	asserted 1.00
s4	An interacting multiple qubit model affords comparison between the time integrating procedure and the more conventional environment tracing method.	method 0.80	0.80	0.06	asserted 0.90

What kind of paper the classifier reports this is: theoretical result 0.91 · evidence from proof or derivation 0.79.

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arXiv listing abstract v1

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

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Original abstract

The concept of time-coarsened density matrix for open systems has frequently featured in equilibrium and non-equilibrium statistical mechanics, without being probed as to the detailed consequences of the time averaging procedure. In this work we introduce and prove the need for a selective and non-uniform time-sampling, whose form depends on the properties (whether thermalized or not) of the bath. It is also applicable when an open microscopic sub-system is coupled to another {\it finite} system. By use of a time-periodic minimal coupling model between these two systems, we present detailed quantitative consequences of time coarsening, which include initial state independence of equilibration, deviations from long term averages, their environment size dependence and the approach to classicality, as measured by a Leggett-Garg type inequality. An interacting multiple qubit model affords comparison between the time integrating procedure and the more conventional environment tracing method.

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