Dynamics of a bistable Mott insulator to superfluid phase transition in cavity optomechanics

Zhang, K.; Chen, W.; Meystre, Pierre

doi:10.1016/j.optcom.2009.10.047

Cited by 5 publications

(7 citation statements)

References 36 publications

(36 reference statements)

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“…5(c)]. This model was previously discussed in the weak coupling regime N U 0 κ, the object of that study being the ensuing bistability of the BEC Mott insulator-superfluid transition [46,66]. In contrast, we now consider a situation where the BEC is strongly coupled to the intracavity field (The main content of this section comes from our publication [47]).…”

Section: Bec-mirror-hybrid Systemmentioning

confidence: 99%

“…Further increasing the input intensity past the bistable region the initial minimum disappears as expected. However, in the critical value, the first local minimum of the effective potential degenerates into a plateau; hence, under appropriate circumstances, the mirror subjects to the critical slowing down [65,66]. Beyond these two limits, the system's dynamics is complicated and remains mostly unexplored.…”

Section: Nonlinearity and Bistabilitymentioning

confidence: 99%

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Cavity optomechanics with cold atomic gas

et al. 2011

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We present a tutorial review on the topics related to current development in cavity optomechanics, with special emphasis on cavity optomechanical effects with ultracold gases, Bose-Einstein condensates, and spinor Bose-Einstein condensates. Topics including the quantum model and nonlinearity of the cavity optomechanics, the principles of optomechanical cooling, radiation-pressure-induced nonlinear states, the chaotic dynamics in a condensate-mirror-hybrid optomechanical setup, and the spin-mixing dynamics controlled by optical cavities are covered.

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Section: Bec-mirror-hybrid Systemmentioning

confidence: 99%

Section: Nonlinearity and Bistabilitymentioning

confidence: 99%

Cavity optomechanics with cold atomic gas

et al. 2011

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“…For this purpose, if we substitute a = √ N α + δa, c 0 = √ N β 0 + δc 0 and c 1 = √ N β 1 +δc 1 into Eqs. (19) we will obtain a set of nonlinear algebraic equations for the steady-state mean values…”

Section: The Two-mode Model Of the Becmentioning

confidence: 99%

“…Hybrid systems consisting of BEC have also attracted considerable attention in connection with quantum phase transition phenomena. One celebrated example is the transition from a superfluid to a Mott insulator phase in the Bose-Hubbard model [16][17][18][19] that has been observed experimentally in a gas of ultracold atoms trapped inside an optical lattice [20]. Another kind of quantum phase * adalafi@yahoo.co.uk transition from the homogeneous into a periodically patterned distribution can be observed in hybrid systems consisting of a BEC whose atoms are coherently pumped from the side of the cavity [Fig.…”

Section: Introductionmentioning

confidence: 99%

The effect of atomic collisions on the quantum phase transition of a Bose–Einstein condensate inside an optical cavity

Dalafi

Naderi

Soltanolkotabi

2015

J. Phys. B: At. Mol. Opt. Phys.

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In this paper, we investigate the effect of atomic collisions on the phase transition form the normal to the superradiant phase in a one-dimensional Bose-Einstein condensate (BEC) trapped inside an optical cavity. Specifically, we show that driving the atoms from the side of the cavity leads to the excitation of modes in the edges of the first Brillouin zone of every energy band, which results in the two-mode approximation of the BEC matter field in the limit of weak coupling regime. The nonlinear effect of atom-atom interaction shifts the threshold of the quantum phase transition of the BEC and also affect the power low behavior of quantum fluctuations in the total particle number. Besides, we show the possibility of controlling the quantum phase transition of the system through the s-wave scattering frequency when the the strength of the transverse pumping has been fixed.

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“…First experiments using a single-side pump were already performed [20]. So far, the theoretical descriptions of BECs in ring cavities were mainly based on a Gross-Pitaevskii description of the atoms [20,27,28] and a coherent-state approximation for the cavity modes.…”

Section: Introductionmentioning

confidence: 99%

Microscopic dynamics of ultracold particles in a ring-cavity optical lattice

et al. 2010

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The quantum dynamics of particles optically trapped in a symmetrically pumped high-Q ring cavity exhibits much richer physics than for a standing-wave resonator. In addition to modifying the lattice depth, light scattering by the particles shifts and reshapes the trapping potential. We calculate the corresponding changes in tunneling amplitudes and damping by an effective bipotential (two-level) model for the particle motion. As a crude truncation of the Bose-Hubbard model, expansion to the lowest band decouples particle and field dynamics. Only including excitations to higher bands can capture this essential additional physics and correctly describe decoherence, damping, and long-range correlations of the particle dynamics. The validity limits of the analytic models are confirmed by quantum Monte Carlo wave-function simulations, which exhibit correlated particle-field quantum jumps as unambiguous quantum signature of the system dynamics.

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Dynamics of a bistable Mott insulator to superfluid phase transition in cavity optomechanics

Cited by 5 publications

References 36 publications

Cavity optomechanics with cold atomic gas

Cavity optomechanics with cold atomic gas

The effect of atomic collisions on the quantum phase transition of a Bose–Einstein condensate inside an optical cavity

Microscopic dynamics of ultracold particles in a ring-cavity optical lattice

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