Ballistic quench-induced correlation waves in ultracold gases

Corson, John; Bohn, John L.

doi:10.1103/physreva.94.023604

Cited by 20 publications

(28 citation statements)

References 87 publications

(109 reference statements)

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“…Consequently, the 1/k 4 tail of the momentum distribution should evolve into 1/k 6 after long expansion time in agreement with Ref. [27]. Figure 5 shows the timedependent evolution of the density and momentum distributions in the expansion after quenching the scattering length from a 0 = 0.05a ho to a = ∞.…”

Section: Quench Dynamicssupporting

confidence: 84%

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Expansion of harmonically trapped interacting particles and time dependence of the contact

Pitaevskiĭ

Stringari

2016

Phys. Rev. A

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We study the expansion of an interacting atomic system at zero temperature, following its release from an isotropic three-dimensional harmonic trap and calculate the time dependence of its density and momentum distribution, with special focus on the behavior of the contact parameter. We consider different quantum systems, including the unitary Fermi gas of infinite scattering length, the weakly interacting Bose gas, and two interacting particles with highly asymmetric mass imbalance. In all cases analytic results can be obtained, which show that the initial value of the contact, fixing the 1/k 4 tail of the momentum distribution, disappears for large expansion times. Our results raise the problem of understanding the recent experiment of Chang et al. [Phys. Rev. Lett. 117, 235303 (2016)] carried out on a weakly interacting Bose gas of metastable 4 He atoms, where a 1/r 4 tail in the density distribution was observed after a large expansion time, implying the existence of the 1/k 4 tail in the asymptotic momentum distribution.

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Section: Quench Dynamicssupporting

confidence: 84%

“…The authors of Ref. [27] considered the quench dynamics in momentum space of a pair of atoms initially bound by an interaction with a > 0. In this section, we will consider the dynamics of a pair of atoms by switching off the trap simultaneously with the quench of the scattering length.…”

Section: Quench Dynamicsmentioning

confidence: 99%

Expansion of harmonically trapped interacting particles and time dependence of the contact

Pitaevskiĭ

Stringari

2016

Phys. Rev. A

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“…Finally, one should notice that the time-dependent terms in Eqs. (56) and (59) may diverge as t → +∞, i.e., they may be secular terms. This is just an artifact of the perturbative expansion carried out in this section.…”

Section: B Freezing Of the Low-momentum Modesmentioning

confidence: 99%

Momentum distribution and coherence of a weakly interacting Bose gas after a quench

et al. 2018

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We consider a weakly interacting uniform atomic Bose gas with a time-dependent nonlinear coupling constant. By developing a suitable Bogoliubov treatment we investigate the time evolution of several observables, including the momentum distribution, the degree of coherence in the system, and their dependence on dimensionality and temperature. We rigorously prove that the low-momentum Bogoliubov modes remain frozen during the whole evolution, while the high-momentum ones adiabatically follow the change in time of the interaction strength. At intermediate momenta we point out the occurrence of oscillations, which are analogous to Sakharov oscillations. We identify two wide classes of time-dependent behaviors of the coupling for which an exact solution of the problem can be found, allowing for an analytic computation of all the relevant observables. A special emphasis is put on the study of the coherence property of the system in one spatial dimension. We show that the system exhibits a smooth "light-cone effect," with typically no prethermalization. arXiv:1810.01362v2 [cond-mat.quant-gas]

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“…Therefore, the short-time shortrange behavior of few-body wave functions can yield quantitatively correct predictions for the contact dynamics of a quenched many-body system [18,32]. Generally, if a particle is measured at a location defining the origin of a coordinate system, then ng ð2Þ ðr; tÞ is the probability density for measuring another particle at r [33].…”

Section: Dynamics Of Three-body Correlations In Quenched Unitary Bosementioning

confidence: 99%

Dynamics of Three-Body Correlations in Quenched Unitary Bose Gases

2018

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We investigate dynamical three-body correlations in the Bose gas during the earliest stages of evolution after a quench to the unitary regime. The development of few-body correlations is theoretically observed by determining the two-and three-body contacts. We find that the growth of three-body correlations is gradual compared to two-body correlations. The three-body contact oscillates coherently, and we identify this as a signature of Efimov trimers. We show that the growth of three-body correlations depends nontrivially on parameters derived from both the density and Efimov physics. These results demonstrate the violation of scaling invariance of unitary bosonic systems via the appearance of log-periodic modulation of three-body correlations.

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Ballistic quench-induced correlation waves in ultracold gases

Cited by 20 publications

References 87 publications

Expansion of harmonically trapped interacting particles and time dependence of the contact

Expansion of harmonically trapped interacting particles and time dependence of the contact

Momentum distribution and coherence of a weakly interacting Bose gas after a quench

Dynamics of Three-Body Correlations in Quenched Unitary Bose Gases

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