Phase-Diffusion Dynamics in Weakly Coupled Bose-Einstein Condensates

Boukobza, Erez; Chuchem, Maya; Cohen, Doron; Vardi, Amichay

doi:10.1103/physrevlett.102.180403

Cited by 64 publications

(112 citation statements)

References 28 publications

Supporting

Mentioning

107

Contrasting

Order By: Relevance

“…This corresponds to an N -particle occupation of the anti-symmetric superposition of the two modes [22,23]. The one-body coherence of the evolving state is characterized by the length of the Bloch vector S = Ĵ /j.…”

Section: Modellingmentioning

confidence: 99%

“…We consider the dynamics generated by the two-mode Bose-Hubbard Hamiltonian (BHH) [21][22][23]30] with an additional driving source,…”

Section: Modellingmentioning

confidence: 99%

“…Noise was shown to arrest the squeezing and build-up of many-body correlations in the large, multi-particle system, prepared with all particles occupying the odd superposition of the two-modes. In the Josephson regime [21] this preparation constitutes a hyperbolic saddle point, leading to a rapid squeezing [22,23]. It was shown that the degree of squeezing and the associated phase diffusion [24][25][26][27][28][29] could be controlled by a noisy modulation of the coupling between the modes, up to a full arrest via a Bose-stimulated QZE [13,14].…”

mentioning

confidence: 99%

See 2 more Smart Citations

Squeezing in driven bimodal Bose-Einstein condensates: Erratic driving versus noise

2012

Self Cite

View full text Add to dashboard Cite

We study the interplay of squeezing and phase randomization near the hyperbolic instability of a two-site Bose-Hubbard model in the Josephson interaction regime. We obtain results for the quantum Zeno suppression of squeezing far beyond the previously found short time behavior. More importantly, we contrast the expected outcome with the case where randomization is induced by erratic driving with the same fluctuations as the quantum noise source, finding significant differences. These are related to the distribution of the squeezing factor, which has log-normal characteristics: hence its average is significantly different from its median due to the occurrence of rare events. I. INTRODUCTIONThe effect of stochastic driving on unitary evolution has been a central theme of modern quantum mechanics. It is well established that quantum decay can be suppressed by frequent interventions, or measurements, or by the introduction of noise, via the Quantum Zeno Effect (QZE) [1][2][3][4][5][6][7][8][9][10][11][12]. The modelling of the "interventions" as arising from a deterministic or from a noisy source are often used interchangeably [5][6][7][8][9]. This partially reflects the paradigm that the Langevin picture and the Master equation picture of the dynamics are equivalent.Recent work considered the QZE suppression of interaction-induced squeezing in bimodal Bose-Einstein condensates [13,14]. Since matter-wave squeezing is the key to the realization of atom interferometers below the standard quantum limit [15][16][17][18][19][20], it is highly desirable to gain better understanding of its interplay with noise. Noise was shown to arrest the squeezing and build-up of many-body correlations in the large, multi-particle system, prepared with all particles occupying the odd superposition of the two-modes. In the Josephson regime [21] this preparation constitutes a hyperbolic saddle point, leading to a rapid squeezing [22,23]. It was shown that the degree of squeezing and the associated phase diffusion [24][25][26][27][28][29] could be controlled by a noisy modulation of the coupling between the modes, up to a full arrest via a Bose-stimulated QZE [13,14].In this work we attain two principle goals. (i) We extend the analytic understanding of the QZE suppression of squeezing to time-scales which are orders of magnitude longer than these of Ref. [13,14], obtaining good agreement with numerical simulations. (ii) We challenge the fundamental paradigm of replacing quantum noise by deterministic erratic driving. Erratic driving can have nontrivial statistics, hence its typical results do not have to agree with the average behavior. This is demonstrated in our system by an important caveat resulting from the interplay of the nonlinear squeezing dynamics and the diffusive randomization by driving. While the early evolution under the influence of either noisy or erratic driving corresponds to the QZE of Ref. [13,14], significant differences arise at later times. These differences are explained by a statistical analysis: As the squeezing...

show abstract

Section: Modellingmentioning

confidence: 99%

“…We consider the dynamics generated by the two-mode Bose-Hubbard Hamiltonian (BHH) [21][22][23]30] with an additional driving source,…”

Section: Modellingmentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Squeezing in driven bimodal Bose-Einstein condensates: Erratic driving versus noise

2012

Self Cite

View full text Add to dashboard Cite

show abstract

“…In particular, we explore the coherent phonon oscillations and tunneling between two coupled nonlinear mechanical resonators and show that the mode coupling between two nanomechanical resonators introduces a novel phenomenon, an effective phonon Josephson junction, that is a phononic analog of the superconducting Josephson junction (SJJ) and of the bosonic Josephson junction, which has been proposed theoretically [42][43][44][45][46][47] and realized experimentally [48][49][50][51][52][53] with ultra-cold atoms trapped within double-well potentials or optical lattices. We also mention that a photonic analog of the Josephson effect in two weakly linked microcavities has been investigated in [54][55][56].…”

Section: Introductionmentioning

confidence: 99%

“…The effective Josephson oscillations between the two mechanical resonators are blocked and as a consequence, most phonons are self-trapped in one of two mechanical resonators. The proposed scheme can be realized with nowadays technology [57], and is suited to investigate a wide range of interesting phenomena such as the observation of spontaneous mirror-symmetry breaking [58], nonlinear phase dynamics and phase diffusion [45], quantum chaos [46], and phonon number squeezing in nonlinear nanomechanical resonators [59].…”

Section: Introductionmentioning

confidence: 99%

Phonon Josephson junction with nanomechanical resonators

Barzanjeh

Vitali

2016

Phys. Rev. A

View full text Add to dashboard Cite

We study coherent phonon oscillations and tunneling between two coupled nonlinear nanomechanical resonators. We show that the coupling between two nanomechanical resonators creates an effective phonon Josephson junction which exhibits two different dynamical behaviors: Josephson oscillation (phonon-Rabi oscillation) and macroscopic self-trapping (phonon blockade). Self-trapping originates from mechanical nonlinearities, meaning that when the nonlinearity exceeds its critical value, the energy exchange between the two resonators is suppressed, and phonon-Josephson oscillations between them are completely blocked. An effective classical Hamiltonian for the phonon Josephson junction is derived and its mean-field dynamics is studied in phase space. Finally, we study the phonon-phonon coherence quantified by the mean fringe visibility, and show that the interaction between the two resonators may lead to the loss of coherence in the phononic junction.

show abstract

Localization due to interaction‐enhanced disorder in bosonic systems

Singh

Shimshoni

2017

Annalen der Physik

View full text Add to dashboard Cite

Localization in interacting systems caused by disorder, known as many-body localization (MBL), has attracted a lot of attention in recent years. Most systems studied in this context also show single-particle localization, and the question of MBL is whether the phenomena survives the effects of interactions. It is intriguing to consider a system with no single-particle localization but which does localize in the presence of many particles. The localization phenomena occurs "due to" rather than "in spite of" interactions in such systems. We consider a simple bosonic system and show that interactions enhance the effects of very weak disorder and result in localization when many particles are present. We provide physical insights into the mechanism involved and support our results with analytical and numerical calculations.

show abstract

Phase-Diffusion Dynamics in Weakly Coupled Bose-Einstein Condensates

Cited by 64 publications

References 28 publications

Squeezing in driven bimodal Bose-Einstein condensates: Erratic driving versus noise

Squeezing in driven bimodal Bose-Einstein condensates: Erratic driving versus noise

Phonon Josephson junction with nanomechanical resonators

Localization due to interaction‐enhanced disorder in bosonic systems

Contact Info

Product

Resources

About