Long-lived periodic revivals of coherence in an interacting Bose-Einstein condensate

Egorov, M. V.; Anderson, R. A.; Ivannikov, Valentin; Opanchuk, Bogdan; Drummond, P. D.; Hall, Budd L.; Sidorov, Andrei

doi:10.1103/physreva.84.021605

Cited by 70 publications

(101 citation statements)

References 24 publications

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“…Phase-space methods for quantum fields were used to predict quantum squeezing in solitons in fiber optics [26][27][28][29][30], with an excellent agreement with subsequent experimental tests [31][32][33]. They were later applied to ultracold atomic BEC dynamics [34], and have been widely used, especially at finite temperatures [35,36].…”

Section: Classical Phase-spacementioning

confidence: 99%

Quantum dynamics in ultracold atomic physics

Reid

Opanchuk

et al. 2012

Front. Phys.

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We review recent developments in the theory of quantum dynamics in ultracold atomic physics, including exact techniques and methods based on phase-space mappings that are applicable when the complexity becomes exponentially large. Phase-space representations include the truncated Wigner, positive-P and general Gaussian operator representations which can treat both bosons and fermions. These phase-space methods include both traditional approaches using a phase-space of classical dimension, and more recent methods that use a non-classical phase-space of increased dimensionality. Examples used include quantum Einstein-Podolsky-Rosen (EPR) entanglement of a four-mode BEC, time-reversal tests of dephasing in single-mode traps, BEC quantum collisions with up to 10 6 modes and 10 5 interacting particles, quantum interferometry in a multi-mode trap with nonlinear absorption, and the theory of quantum entropy in phase-space. We also treat the approach of variational optimization of the sampling error, giving an elementary example of a nonlinear oscillator.

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Section: Classical Phase-spacementioning

confidence: 99%

Quantum dynamics in ultracold atomic physics

Reid

Opanchuk

et al. 2012

Front. Phys.

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“…7-10 for notable examples), which reequilibrate on extremely short timescales due to strong coupling to the environment, gases of ultra-cold atoms can be operated as highly isolated 11,12 , artificial quantum matter [13][14][15][16][17][18] which can be assumed to evolve under its own dynamics over extremely long time-scales. This has reinvigorated interest in this line of inquiry, and has influenced many of the developments mentioned above.…”

Section: Introductionmentioning

confidence: 99%

Quantum heat waves in a one-dimensional condensate

et al. 2017

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We study the dynamics of phase relaxation between a pair of one-dimensional condensates created by a bi-directional, supersonic 'unzipping' of a finite single condensate. We find that the system fractures into different extensive chunks of space-time, within which correlations appear thermal but correspond to different effective temperatures. Coherences between different eigen-modes are crucial for understanding the development of such thermal correlations; at no point in time can our system be described by a generalized Gibbs' ensemble despite nearly always appearing locally thermal. We rationalize a picture of propagating fronts of hot and cold sound waves, populated at effective, relativistically red-and blue-shifted temperatures to intuitively explain our findings. The disparity between these hot and cold temperatures vanishes for the case of instantaneous splitting but diverges in the limit where the splitting velocity approaches the speed of sound; in this limit, a sonic boom occurs wherein the system is excited only along an infinitely narrow, and infinitely hot beam. We expect our findings to apply generally to the study of superluminal perturbations in systems with emergent Lorentz symmetry.

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“…4. An internal BJJ[64][65][66] involves a two-component condensate of atoms occupying two hyperfine levels which are coupled by the external fields, see panel (b) ofFig. 4.…”

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confidence: 99%

Nonlinear quantum interferometry with Bose condensed atoms

et al. 2012

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In quantum interferometry, it is vital to control and utilize nonlinear interactions for achieving high-precision measurements. Attribute to their long coherent time and high controllability, ultracold atoms including Bose condensed atoms have been widely used for implementing quantum interferometry. Here, we review the recent progresses in theoretical studies of quantum interferometry with Bose condensed atoms. In particular, we focus on the nonlinear phenomena induced by the atom-atom interaction and how to control and utilize these nonlinear phenomena. Under the mean-field description, due to the atom-atom interaction, matter-wave solitons appear in the interference patterns, and macroscopic quantum self-trapping exists in the Bose-Josephson junctions. Under the many-body description, the atom-atom interaction can generate non-classical entanglement, which may be utilized to achieve high-precision measurements beyond the standard quantum limit.Comment: 22 pages, 10 figures, resubmitted to Frontiers of Physics. The references have been update

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Long-lived periodic revivals of coherence in an interacting Bose-Einstein condensate

Cited by 70 publications

References 24 publications

Quantum dynamics in ultracold atomic physics

Quantum dynamics in ultracold atomic physics

Quantum heat waves in a one-dimensional condensate

Nonlinear quantum interferometry with Bose condensed atoms

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