Beyond mean-field dynamics in open Bose-Hubbard chains

Witthaut, Dirk; Trimborn, F.; Hennig, Holger; Kordas, G.; Geisel, Theo; Wimberger, Sandro

doi:10.1103/physreva.83.063608

Cited by 130 publications

(179 citation statements)

References 47 publications

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“…It was also shown that the quantum coherence of a strongly interacting BEC loaded in the double-well trap subject to the phase noise and particle loss can be completely restored by engineering the parameters of the system and controlling the dissipation rate [17]. Similar results were obtained with the optical lattices, where the particle loss at the boundary acting together with the nonlinearity resulted in restoration of the coherence and formation of the discrete breathers [18]. Whereas in the previous setups the action of a localized or boundary dissipation was considered, in the present proposal we consider the action of a periodic dissipation which profoundly affects the physics in the optical lattice.…”

Section: Introductionsupporting

confidence: 69%

State engineering for a Bose-Einstein condensate in an optical lattice by means of a periodic sublattice of dissipative sites

Shchesnovich

2012

Phys. Rev. A

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We introduce the notion of dissipative periodic lattice as an optical lattice with periodically distributed dissipative sites and argue that it allows to engineer unconventional Bose-Einstein superfluids with the complex-valued order parameter. We consider two examples, the one-dimensional dissipative optical lattice, where each third site is dissipative, and the dissipative honeycomb optical lattice, where each dissipative lattice site neighbors three non-dissipated sites. The tight-binding approximation is employed, which allows one to obtain analytical results. In the one-dimensional case the condensate is driven to a coherent Bloch-like state with non-zero quasimomentum, which breaks the translational periodicity of the dissipative lattice. In the two-dimensional case the condensate is driven to a zero quasimomentum Bloch-like state, which is a coherent superposition of four-site discrete vortices of alternating vorticity with the vortex centers located at the dissipative sites.

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Section: Introductionsupporting

confidence: 69%

State engineering for a Bose-Einstein condensate in an optical lattice by means of a periodic sublattice of dissipative sites

Shchesnovich

2012

Phys. Rev. A

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“…In [16,17] it was shown that localized single particle losses can be used to create stable nonlinear structures. For instance, a discrete breather can emerge in a lattice with boundary losses or a coherent dark soliton can be engineered with the help of phase imprinting and localized losses.…”

Section: Discrete Breather Formationmentioning

confidence: 99%

“…In the presence of dissipation the dynamics is usually given by a master equation in Lindblad form [4,11,[13][14][15][16][17][18][19][20][21] …”

Section: Dissipative and Noisy Bose-hubbard Modelsmentioning

confidence: 99%

Non‐equilibrium dynamics in dissipative Bose‐Hubbard chains

2015

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Open many-body quantum systems have recently gained renewed interest in the context of quantum information science and quantum transport with biological clusters and ultracold atomic gases. We present a series of results in diverse setups based on a Master equation approach to describe the dissipative dynamics of ultracold bosons in a one-dimensional lattice. We predict the creation of mesoscopic stable many-body structures in the lattice and study the non-equilibrium transport of neutral atoms in the regime of strong and weak interactions.

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“…This not only exhibits rich phenomenology but can also provide a platform for future applications of quantum technologies. Dissipation induces decoherence [1][2][3][4], influences the correlations and dynamics [5][6][7][8][9][10][11][12][13][14][15][16][17], and engineering dissipative coupling may be employed in state preparation [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Classical stochastic measurement trajectories: Bosonic atomic gases in an optical cavity and quantum measurement backaction

Lee

Ruostekoski

2014

Phys. Rev. A

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We formulate computationally efficient classical stochastic measurement trajectories for a multimode quantum system under continuous observation. Specifically, we consider the nonlinear dynamics of an atomic BoseEinstein condensate contained within an optical cavity subject to continuous monitoring of the light leaking out of the cavity. The classical trajectories encode within a classical phase-space representation a continuous quantum measurement process conditioned on a given detection record. We derive a Fokker-Planck equation for the quasiprobability distribution of the combined condensate-cavity system. We unravel the dynamics into stochastic classical trajectories that are conditioned on the quantum measurement process of the continuously monitored system. Since the dynamics of a continuously measured observable in a many-atom system can be closely approximated by classical dynamics, the method provides a numerically efficient and accurate approach to calculate the measurement record of a large multimode quantum system. Numerical simulations of the continuously monitored dynamics of a large atom cloud reveal considerably fluctuating phase profiles between different measurement trajectories, while ensemble averages exhibit local spatially varying phase decoherence. Individual measurement trajectories lead to spatial pattern formation and optomechanical motion that solely result from the measurement backaction. The backaction of the continuous quantum measurement process, conditioned on the detection record of the photons, spontaneously breaks the symmetry of the spatial profile of the condensate and can be tailored to selectively excite collective modes.

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Beyond mean-field dynamics in open Bose-Hubbard chains

Cited by 130 publications

References 47 publications

State engineering for a Bose-Einstein condensate in an optical lattice by means of a periodic sublattice of dissipative sites

State engineering for a Bose-Einstein condensate in an optical lattice by means of a periodic sublattice of dissipative sites

Non‐equilibrium dynamics in dissipative Bose‐Hubbard chains

Classical stochastic measurement trajectories: Bosonic atomic gases in an optical cavity and quantum measurement backaction

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