Reservoir interactions of a vortex in a trapped three-dimensional Bose-Einstein condensate

Rooney, S. J.; Allen, A. J.; Zülicke, U.; Proukakis, N. P.; Bradley, Ashton S.

doi:10.1103/physreva.93.063603

Cited by 13 publications

(24 citation statements)

References 82 publications

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“…The discrepancy is expectedly higher, when the barrier potential is taken into account. The relative error is, however, within 2% in the high-energy region, which is very good for such a simple approximation and justifies the cut-off definition based on the the approximate spectrum (7).…”

Section: Numerical Verificationsupporting

confidence: 60%

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Projected Gross–Pitaevskii Equation for Ring-Shaped Bose–Einstein Condensates

Prikhodko

Bidasyuk

2021

Ukr. J. Phys.

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We propose an alternative implementation of the projected Gross–Pitaevskki equation adapted for a numerical modeling of the atomic Bose–Einstein condensate trapped in a toroidally shaped potential. We present an accurate efficient scheme to evaluate the required matrix elements and to calculate tthe ime evolution of the matter wave field. We analyze the stability and accuracy of the developed method for equilibrium and nonequilibrium solutions in a ring-shaped trap with an additional barrier potential corresponding to recent experimental realizations.

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Section: Numerical Verificationsupporting

confidence: 60%

“…The latter will be the main focus of the present work. A wide range of physical problems addressed with PGPE and its modifications includes, in particular, the Bosecondensation and quasicondensation [6][7][8], dynamical generation [9] and decay [10] of quantum vortices, and dissipative bosonic Josephson effect [11].…”

Section: Introductionmentioning

confidence: 99%

Projected Gross–Pitaevskii Equation for Ring-Shaped Bose–Einstein Condensates

Prikhodko

Bidasyuk

2021

Ukr. J. Phys.

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“…[22] studied condensates confined to a periodic channel using TWA simulations. In addition, recent theoretical [23][24][25][26][27][28][29] and experimental [30] works explored a similar problem of dissipative vortex dynamics in a simply-connected trap.…”

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confidence: 99%

Temperature-induced decay of persistent currents in a superfluid ultracold gas

et al. 2017

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We study how temperature affects the lifetime of a quantized, persistent current state in a toroidal Bose-Einstein condensate (BEC). When the temperature is increased, we find a decrease in the persistent current lifetime. Comparing our measured decay rates to simple models of thermal activation and quantum tunneling, we do not find agreement. We also measured the size of hysteresis loops size in our superfluid ring as a function of temperature, enabling us to extract the critical velocity. The measured critical velocity is found to depend strongly on temperature, approaching the zero temperature mean-field solution as the temperature is decreased. This indicates that an appropriate definition of critical velocity must incorporate the role of thermal fluctuations, something not explicitly contained in traditional theories. *

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“…However, the explicit high-energy cutoff in the SPGPE necessitates a different technical approach, with significant differences appearing in the resulting stochastic equations. As the energydamping mechanism is absent from the Stoof SGPE theory, an interesting future direction is to identify further experimentally accessible regimes capable of distinguishing between the two approaches [27]. A related question recieving recent attention is that of ensemble equivalence [36].…”

Section: Discussionmentioning

confidence: 99%

Dynamics of hot Bose-Einstein condensates: stochastic Ehrenfest relations for number and energy damping

et al. 2020

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Describing high-temperature Bose gases poses a long-standing theoretical challenge. We present exact stochastic Ehrenfest relations for the stochastic projected Gross-Pitaevskii equation, including both number and energy damping mechanisms, and all projector terms that arise from the energy cutoff separating system from reservoir. Analytic solutions for the center of mass position, momentum, and their two-time correlators are in close agreement with simulations of a harmonically trapped prolate system. The formalism lays the foundation to analytically explore experimentally accessible hot Bose-Einstein condensates. Contents arXiv:1908.05809v1 [cond-mat.quant-gas] B Kohn mode projector terms 21 B.1 Position and momentum 22 B.2 Dimensionless variable z(t) 23 B.3 Numerical evaluation of projector terms 23 References 24 IntroductionA system of Bose atoms with temperature T undergoes a dramatic change in behavior at the critical temperature for the formation of a Bose-Einstein condensate (BEC), T c . Far below the BEC transition T T c , a nearly pure BEC forms, consisting of a highly occupied many-body quantum state; in this regime dilute gas BEC are renowned both for their high experimental control, and precise theoretical description [1]. At temperatures T T c thermal energy dominates, the quantum statistics are unimportant, and a Boltzman description captures the physical properties of the atoms. When T ∼ T c the quantum statistics of the atoms are decisive, despite appreciable thermal energy. In a hot BEC T T c , competition between thermal and interaction effects leads to fragmentation of the condensate, and formation of vortices, solitons, and phononic excitations. A cooling quench across the transition can inject interesting excitations into the BEC that form as remnants of the broken U(1) symmetry [2, 3], and rich turbulent dynamics develop from the competition between thermal, quantum, and interaction effects, posing a challenge for theory.At low temperatures T T c , mean field theory provides a useful description, upon which the GPE and its generalizations are based. The Zaremba-Nikuni-Griffin U(1) symmetry breaking approach has proven well suited for practical calculations in the low-temperature regime [4], having the virtue that the interactions between condensate and thermal cloud, and their respective dynamics, are all included in the dynamical description. However, it's strength for low temperatures presents a limitation at high temperatures: the symmetry-breaking ansatz cannot describe strongly fluctuating systems containing large non-condensate fraction. Fortunately, the scope of the Gross-Pitaevskii equation (GPE) upon which ZNG is based goes much further than mean-field theory: GPE-like field equations appear naturally in phase-space representations of Bose gases [5], suggesting a generalization of quantum optical open systems theory [6] for describing hot Bose gases. Indeed, various generalized Gross-Pitaevskii theories have been developed for the high temperature regime, describing many modes that...

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Reservoir interactions of a vortex in a trapped three-dimensional Bose-Einstein condensate

Cited by 13 publications

References 82 publications

Projected Gross–Pitaevskii Equation for Ring-Shaped Bose–Einstein Condensates

Projected Gross–Pitaevskii Equation for Ring-Shaped Bose–Einstein Condensates

Temperature-induced decay of persistent currents in a superfluid ultracold gas

Dynamics of hot Bose-Einstein condensates: stochastic Ehrenfest relations for number and energy damping

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