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Quantum fields in a cold atomic simulator: relaxation and phase locking in tunnel-coupled 1D bosonic quasi-condensates
Quantum Gases · Submitted 15 Dec 2025
abstract compiled · 2026-09-24 · no language-model review
The authors' main claim Therefore, the experimental setup provides a good simulator of the sine-Gordon quantum field theory, even out of equilibrium, if the inhomogeneous background induced by the trap is taken into account.
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The abstract, sentence by sentence
We consider a prime example of simulating interacting relativistic QFT with cold atoms: the realisation of the sine-Gordon model by tunnel-coupled quasi-1D Bose gases. While experiments have shown that it can realise the sine-Gordon model in equilibrium, studies of non-equilibrium dynamics have revealed phase-locking behaviour that contrasts with predictions from sine-Gordon field theory. Here, we examine a one-dimensional field-theoretic model of the system and find that the phase-locking behaviour can be understood in terms of the longitudinal harmonic trap, and that the additional degrees of freedom observed in the experiment do not appear to play a significant role. Therefore, the experimental setup provides a good simulator of the sine-Gordon quantum field theory, even out of equilibrium, if the inhomogeneous background induced by the trap is taken into account. Furthermore, our results support the idea that modifying the longitudinal trap to a box shape should result in agreement with standard sine-Gordon dynamics. The main remaining open issues are accounting for 3D corrections and modelling the effect of the boundaries.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider a prime example of simulating interacting relativistic QFT with cold atoms: the realisation of the sine-Gordon model by tunnel-coupled quasi-1D Bose gases. | background 0.94 | 0.16 | 0.04 | asserted 0.99 |
| s1 | While experiments have shown that it can realise the sine-Gordon model in equilibrium, studies of non-equilibrium dynamics have revealed phase-locking behaviour that contrasts with predictions from sine-Gordon field theory. | background 0.57 | 0.08 | 0.04 | asserted 1.00 |
| s2 | Here, we examine a one-dimensional field-theoretic model of the system and find that the phase-locking behaviour can be understood in terms of the longitudinal harmonic trap, and that the additional degrees of freedom observed in the experiment do not appear to play a significant role. | result 0.78 | 0.95 | 0.31 | asserted 0.90 |
| s3 | Therefore, the experimental setup provides a good simulator of the sine-Gordon quantum field theory, even out of equilibrium, if the inhomogeneous background induced by the trap is taken into account. | interpretation 0.96 | 0.67 | 0.72 | asserted 0.90 |
| s4 | Furthermore, our results support the idea that modifying the longitudinal trap to a box shape should result in agreement with standard sine-Gordon dynamics. | interpretation 0.61 | 0.79 | 0.12 | hedged possibility 0.83 |
| s5 | The main remaining open issues are accounting for 3D corrections and modelling the effect of the boundaries. | future work 0.57 | 0.32 | 0.04 | asserted 0.94 |
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The paper
Original abstract
We consider a prime example of simulating interacting relativistic QFT with cold atoms: the realisation of the sine-Gordon model by tunnel-coupled quasi-1D Bose gases. While experiments have shown that it can realise the sine-Gordon model in equilibrium, studies of non-equilibrium dynamics have revealed phase-locking behaviour that contrasts with predictions from sine-Gordon field theory. Here, we examine a one-dimensional field-theoretic model of the system and find that the phase-locking behaviour can be understood in terms of the longitudinal harmonic trap, and that the additional degrees of freedom observed in the experiment do not appear to play a significant role. Therefore, the experimental setup provides a good simulator of the sine-Gordon quantum field theory, even out of equilibrium, if the inhomogeneous background induced by the trap is taken into account. Furthermore, our results support the idea that modifying the longitudinal trap to a box shape should result in agreement with standard sine-Gordon dynamics. The main remaining open issues are accounting for 3D corrections and modelling the effect of the boundaries.
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What this paper does with the arXiv papers it cites
What it cites · 56 sentences without a confident label
Contests 3 papers
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The alternative approach, involving a self-consistent Hartree-Fock approximation [ref] , is not applicable in the parameter regime relevant to the experiment, which involves a significantly higher number of particles than those used in the model calculation.
On the low-energy description for tunnel-coupled one-dimensional Bose gases · Introduction · contest 0.77
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The alternative approach, involving a self-consistent Hartree-Fock approximation [ref] , is not applicable in the parameter regime relevant to the experiment, which involves a significantly higher number of particles than those used in the model calculation.
Josephson oscillations in split one-dimensional Bose gases · Introduction · contest 0.77
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The alternative approach, involving a self-consistent Hartree-Fock approximation [ref] , is not applicable in the parameter regime relevant to the experiment, which involves a significantly higher number of particles than those used in the model calculation.
Self-consistent time-dependent harmonic approximation for the sine-Gordon model out of equilibrium · Introduction · contest 0.77
Uses the method or tool of 7 papers
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In this paper, we consider the dynamics of the system in the effective coupled sine-Gordon-Luttinger field theory description, using the so-called truncated Wigner approximation [ref] .
A classical field method for time dependent Bose condensed gases · Introduction · 1.00
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In this paper, we consider the dynamics of the system in the effective coupled sine-Gordon-Luttinger field theory description, using the so-called truncated Wigner approximation [ref] .
Two-mode Bose gas: Beyond classical squeezing · Introduction · 1.00
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In this paper, we consider the dynamics of the system in the effective coupled sine-Gordon-Luttinger field theory description, using the so-called truncated Wigner approximation [ref] .
Dynamical quantum noise in Bose-Einstein condensates · Introduction · 1.00
Compares with 2 papers
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While the damped oscillation in Eq. [ref] is the low-amplitude approximation of the two-mode model result in Ref. [ref] , the fitted regime in time is different: instead of the long-living excitations, the experiment focuses on a shorter timescale where the amplitude is still large.
Relaxation to a Phase-locked Equilibrium State in a One-dimensional Bosonic Josephson Junction · Relaxation time · 0.85
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Our results for the scaling of $τ$ as a function of the parameters $J$ and $N$ deviate from the results given in previous studies [ref] .
Relaxation in an Extended Bosonic Josephson Junction · Relaxation time · 0.90
Cites as support 2 papers
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The latter coupling breaks integrability; however, equilibrium correlation functions agree well with sine-Gordon predictions [ref] , indicating that in thermal equilibrium the coupled condensates can be regarded as a good quantum simulator of the sine-Gordon quantum field theory.
On solving quantum many-body problems by experiment · Introduction · 0.96
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The latter coupling breaks integrability; however, equilibrium correlation functions agree well with sine-Gordon predictions [ref] , indicating that in thermal equilibrium the coupled condensates can be regarded as a good quantum simulator of the sine-Gordon quantum field theory.
Non-perturbative method to compute thermal correlations in one-dimensional systems · Introduction · 0.96
Cites as background 13 papers
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Feynman's idea of using quantum systems to simulate other quantum systems [ref] , particularly quantum field theories, has found a promising avenue in experiments with ultracold atoms [ref] , which leverage the high degree of control and tunability offered by ultracold atomic systems to mimic the behaviour of quantum particles and fields, and offer a pathway to explore phenomena beyond the reach of classical computation.
Cold atom simulation of interacting relativistic quantum field theories · Introduction · 0.95
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Here we consider the sine-Gordon model, which is a paradigmatic interacting integrable quantum field theory that describes the low-energy physics of numerous physical systems [ref] .
Elementary excitations of S=1/2 one-dimensional antiferromagnet KCuGaF6 in magnetic field and quantum sine-Gordon model · Introduction · 0.91
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Here we consider the sine-Gordon model, which is a paradigmatic interacting integrable quantum field theory that describes the low-energy physics of numerous physical systems [ref] .
Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons · Introduction · 0.91
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