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Universal Rephasing Dynamics after a Quantum Quench via Sudden Coupling of Two Initially Independent Condensates
Quantum Gases · Submitted 21 Nov 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim For weak couplings, the time-evolution of physical observables is predicted to follow universal scaling laws, connecting the short-time dynamics to the long-time non-perturbative regime.
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The abstract, sentence by sentence
We consider a quantum quench in which two initially independent condensates are suddenly coupled, and study the subsequent "rephasing" dynamics. For weak couplings, the time-evolution of physical observables is predicted to follow universal scaling laws, connecting the short-time dynamics to the long-time non-perturbative regime. We first present a two-mode model valid in two and three dimensions and then move to one dimension, where the problem is described by a gapped Sine-Gordon theory. Combining analytical and numerical methods, we compute universal time-dependent expectation values, allowing a quantitative comparison with future experiments.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider a quantum quench in which two initially independent condensates are suddenly coupled, and study the subsequent "rephasing" dynamics. | contribution 0.80 | 0.65 | 0.08 | asserted 0.66 |
| s1 | For weak couplings, the time-evolution of physical observables is predicted to follow universal scaling laws, connecting the short-time dynamics to the long-time non-perturbative regime. | result 0.94 | 0.52 | 0.64 | hedged possibility 0.66 |
| s2 | We first present a two-mode model valid in two and three dimensions and then move to one dimension, where the problem is described by a gapped Sine-Gordon theory. | method 0.95 | 0.83 | 0.05 | asserted 0.99 |
| s3 | Combining analytical and numerical methods, we compute universal time-dependent expectation values, allowing a quantitative comparison with future experiments. | contribution 0.59 | 0.95 | 0.19 | asserted 1.00 |
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The paper
Original abstract
We consider a quantum quench in which two initially independent condensates are suddenly coupled, and study the subsequent "rephasing" dynamics. For weak couplings, the time-evolution of physical observables is predicted to follow universal scaling laws, connecting the short-time dynamics to the long-time non-perturbative regime. We first present a two-mode model valid in two and three dimensions and then move to one dimension, where the problem is described by a gapped Sine-Gordon theory. Combining analytical and numerical methods, we compute universal time-dependent expectation values, allowing a quantitative comparison with future experiments.
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References
How the literature uses it
10 arXiv papers cite this in 16 sentences
Papers citing it · 11 sentences without a confident label
Uses its method or tool 1 paper
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Here we apply an alternative approach, the so-called truncated Wigner approximation (TWA) [ref] , giving a slightly different quasi-classical approximation of the phase dynamics.
Non-equilibrium time evolution and rephasing in the quantum sine-Gordon model · Introduction · 1.00
Cites it as background 4 papers
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These include semiclassical approximations, such as the mean-field approximation [ref] or the truncated Wigner approximation (TWA) [ref] .
Non-equilibrium time evolution in the sine-Gordon model revisited · Introduction · 0.91
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Different types of prethermal and universal dynamics after quenches of quantum many-body systems far out of equilibrium have been studied recently [ref] , many of them in the context of ultracold Bose gases.
Low-energy effective theory of non-thermal fixed points in a multicomponent Bose gas · Introduction · 0.97
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Universal scaling far from equilibrium has recently been analyzed for different types of quantum quenches [ref] , see also Refs. [ref] for studies of phase-ordering kinetics in ultracold Bose gases.
Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas · Introduction · 0.86
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