Collapses and Revivals of Bose-Einstein Condensates Formed in Small Atomic Samples

Wright, E. M.; Walls, D. F.; Garrison, J. C.

doi:10.1103/physrevlett.77.2158

Cited by 240 publications

(263 citation statements)

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“…When the energy density created by the quench is small, they are well described in terms of the free streaming of entangled excitations [11]. As the energy increases interaction effects change the pattern into a series of collapses and revivals with similar properties to those observed experimentally in a variety of systems [4,[17][18][19]. A common ingredient for the examples reviewed in section 6 was the presence of matter or radiation in a coherent state.…”

Section: Discussionmentioning

confidence: 86%

“…The behavior of a condensate of atoms with repulsive interactions trapped in a 3-dimensional confining potential has been studied both theoretical [18] and experimentally [19]. The repulsive interactions in the setup of [19] were reasonably described by the simple hamiltonian H = 1 2 Un(n−1), wheren is the operator counting the number of atoms.…”

Section: Collapse Timementioning

confidence: 99%

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Collapse and revival in holographic quenches

Silva

López

Mas

et al. 2015

J. High Energ. Phys.

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Abstract:We study holographic models related to global quantum quenches in finite size systems. The holographic set up describes naturally a CFT, which we consider on a circle and a sphere. The enhanced symmetry of the conformal group on the circle motivates us to compare the evolution in both cases. Depending on the initial conditions, the dual geometry exhibits oscillations that we holographically interpret as revivals of the initial field theory state. On the sphere, this only happens when the energy density created by the quench is small compared to the system size. However on the circle considerably larger energy densities are compatible with revivals. Two different timescales emerge in this latter case. A collapse time, when the system appears to have dephased, and the revival time, when after rephasing the initial state is partially recovered. The ratio of these two times depends upon the initial conditions in a similar way to what is observed in some experimental setups exhibiting collapse and revivals.

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Section: Discussionmentioning

confidence: 86%

Section: Collapse Timementioning

confidence: 99%

Collapse and revival in holographic quenches

Silva

López

Mas

et al. 2015

J. High Energ. Phys.

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show abstract

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confidence: 99%

Collapse and revival of the matter wave field of a Bose–Einstein condensate

Greiner

Mandel

Hänsch

et al. 2002

Nature

1,201

1,485

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While the matter wave field of a Bose-Einstein condensate is usually assumed to be intrinsically stable, apart from incoherent loss processes, it has been pointed out that this should not be true when a Bose-Einstein condensate is in a coherent superposition of different atom number states [1][2][3][4][5][6] . This is the case for example whenever a Bose-Einstein condensate is split into two parts, such that a well-defined relative phase between the two matter wave fields is established. When these two condensates are isolated from each other, a fundamental question arises: How does the relative phase between the two condensates evolve and what happens to the individual matter wave fields? In this work, we show that in such a case the matter wave field of a Bose-Einstein condensate undergoes a periodic series of collapses and revivals due to the quantized structure of the matter wave field and the collisions between individual atoms.

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“…We note that a very similar expression arises in analyses of the macroscopic wavefunction for Bose-Einstein condensates [33] and the collapse and revival of the matter wave field for such systems has been observed experimentally [34].…”

Section: Simple Harmonic Oscillator Wave Packetsmentioning

confidence: 98%

Analytic Results for Gaussian Wave Packets in Four Model Systems: II. Autocorrelation Functions

Robinett

Bassett

2004

Found Phys Lett

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The autocorrelation function, A(t), measures the overlap (in Hilbert space) of a time-dependent quantum mechanical wave function, ψ(x, t), with its initial value, ψ(x, 0). It finds extensive use in the theoretical analysis and experimental measurement of such phenomena as quantum wave packet revivals. We evaluate explicit expressions for the autocorrelation function for time-dependent Gaussian solutions of the Schrödinger equation corresponding to the cases of a free particle, a particle undergoing uniform acceleration, a particle in a harmonic oscillator potential, and a system corresponding to an unstable equilibrium (the so-called 'inverted' oscillator.) We emphasize the importance of momentum-space methods where such calculations are often more straightforwardly realized, as well as stressing their role in providing complementary information to results obtained using position-space wavefunctions.

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Collapses and Revivals of Bose-Einstein Condensates Formed in Small Atomic Samples

Cited by 240 publications

References 20 publications

Collapse and revival in holographic quenches

Collapse and revival in holographic quenches

Collapse and revival of the matter wave field of a Bose–Einstein condensate

Analytic Results for Gaussian Wave Packets in Four Model Systems: II. Autocorrelation Functions

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