Realization of inverse Kibble–Zurek scenario with trapped Bose gases

Yukalov, V. I.; Novikov, Alexey; Bagnato, Vanderlei Salvador

doi:10.1016/j.physleta.2015.02.033

Cited by 47 publications

(48 citation statements)

References 50 publications

(96 reference statements)

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“…Granulation is found in a variety of systems extending over many length and energy scales [24,25]. In quantum gases, granular states have been discussed previously in the context of perturbed atomic BECs and explored theoretically using a mean-field approach [26,27]. Granular states have been defined to have the following properties [26]: i) they are dynamical quantum states where particles cluster in higher density grains interleaved by regions of very low density, ii) the spatial distribution of grains is random, and iii) the grain size is variable and of a multiscale nature.…”

Section: Introductionmentioning

confidence: 99%

Parametric Excitation of a Bose-Einstein Condensate: From Faraday Waves to Granulation

et al. 2019

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We explore, both experimentally and theoretically, the response of an elongated Bose-Einstein condensate to modulated interactions. We identify two distinct regimes differing in modulation frequency and modulation strength. Longitudinal surface waves are generated either resonantly or parametrically for modulation frequencies near the radial trap frequency or twice the trap frequency, respectively. The dispersion of these waves, the latter being a Faraday wave, is well-reproduced by a mean-field theory that accounts for the 3D nature of the elongated condensate. In contrast, in the regime of lower modulation frequencies we find that no clear resonances occur, but with increased modulation strength, the condensate forms an irregular granulated distribution that is outside the scope of a mean-field approach. We find that the granulated condensate is characterized by large quantum fluctuations and correlations, which are well-described with single-shot simulations obtained from wavefunctions computed by a beyond mean-field theory at zero temperature, the multiconfigurational time-dependent Hartree for bosons method. 1 arXiv:1707.04055v4 [cond-mat.quant-gas]

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Section: Introductionmentioning

confidence: 99%

Parametric Excitation of a Bose-Einstein Condensate: From Faraday Waves to Granulation

et al. 2019

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“…4 we have shown that quasiparticle spectrum, p k , does not depend on the waiting time. The dynamical phase ϕ k in (37) acquires an extra term, δϕ k , such that…”

Section: Kink-kink Correlator After a Linear Ramp With A Haltmentioning

confidence: 99%

Quantum Kibble-Zurek mechanism: Kink correlations after a quench in the quantum Ising chain

Nowak,

Dziarmaga

2021

Preprint

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The transverse field in the quantum Ising chain is linearly ramped from the para-to the ferromagnetic phase across the quantum critical point at a rate characterized by a quench time τQ. We calculate a connected kinkkink correlator in the final state at zero transverse field. The correlator is a sum of two terms: a negative (anti-bunching) Gaussian that depends on the Kibble-Zurek (KZ) correlation length only and a positive term that depends on a second longer scale of length. The second length is made longer by dephasing of the state excited near the critical point during the following ramp across the ferromagnetic phase. This interpretation is corroborated by considering a linear ramp that is halted in the ferromagnetic phase for a finite waiting time and then continued at the same rate as before the halt. The extra time available for dephasing increases the second scale of length that asymptotically grows linearly with the waiting time. The dephasing also suppresses magnitude of the second term making it negligible for waiting times much longer than τQ. The same dephasing can be obtained with a smooth ramp that slows down in the ferromagnetic phase. Assuming sufficient dephasing we obtain also higher order kink correlators and the ferromagnetic correlation function.

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“…Note, that the Kibble-Zurek mechanism has been verified in various experimental setups e.g. using quantum atomic gases [19][20][21][22], superfluids [23] or Coulomb Crystals [24].…”

Section: Introductionmentioning

confidence: 99%

Nonadiabatic dynamics of the excited states for the Lipkin-Meshkov-Glick model

2017

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We theoretically investigate the impact of the excited state quantum phase transition on the adiabatic dynamics for the Lipkin-Meshkov-Glick model. Using a time-dependent protocol, we continuously change a model parameter and then discuss the scaling properties of the system especially close to the excited state quantum phase transition where we find that these depend on the energy eigenstate. On top, we show that the mean-field dynamics with the time-dependent protocol gives the correct scaling and expectation values in the thermodynamic limit even for the excited states.

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Realization of inverse Kibble–Zurek scenario with trapped Bose gases

Cited by 47 publications

References 50 publications

Parametric Excitation of a Bose-Einstein Condensate: From Faraday Waves to Granulation

Parametric Excitation of a Bose-Einstein Condensate: From Faraday Waves to Granulation

Quantum Kibble-Zurek mechanism: Kink correlations after a quench in the quantum Ising chain

Nonadiabatic dynamics of the excited states for the Lipkin-Meshkov-Glick model

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