ε(k) = ℏ2k2 2m − µ − kBT c π Z ∞ −∞ dq ln 1 + e− ε(q) kB T c2 + (k − q)2 , (A1) where k is the quasi-momentum defined by the Bethe Ansatz wavefunction and ϵk is the dressed energy

One-dimensional regime For 1D gas, where the chemical potential, temperature satisfy ℏω∥ ≪ µ1D ≪ ℏω⊥, kBT ≪ ℏω⊥, the thermodynamic behavior can be fully described by the Yang-

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Strong interaction induced dimensional crossover in 1D quantum gas

cond-mat.quant-gas · 2024-11-20 · unverdicted · novelty 7.0

Strong interactions in a large 1D quantum gas induce a crossover to 3D behavior, causing failure of standard 1D models and producing distinct breathing-mode frequency plateaus from 1D and 3D hydrodynamics.

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Strong interaction induced dimensional crossover in 1D quantum gas cond-mat.quant-gas · 2024-11-20 · unverdicted · none · ref 2
Strong interactions in a large 1D quantum gas induce a crossover to 3D behavior, causing failure of standard 1D models and producing distinct breathing-mode frequency plateaus from 1D and 3D hydrodynamics.

ε(k) = ℏ2k2 2m − µ − kBT c π Z ∞ −∞ dq ln 1 + e− ε(q) kB T c2 + (k − q)2 , (A1) where k is the quasi-momentum defined by the Bethe Ansatz wavefunction and ϵk is the dressed energy

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