Ultracold atoms in optical lattices generated by quantized light fields

Maschler, Christoph; Mekhov, Igor B.; Ritsch, Helmut

doi:10.1140/epjd/e2008-00016-4

Cited by 156 publications

(269 citation statements)

References 53 publications

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“…After making a unitary transformation to the rotating frame of the pump and using the rotating-wave approximation, one then finds a second quantized Hamiltonian of the form [50][51][52] …”

Section: Formalismmentioning

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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“…After making a unitary transformation to the rotating frame of the pump and using the rotating-wave approximation, one then finds a second quantized Hamiltonian of the form [50][51][52] …”

Section: Formalismmentioning

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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“…Following Maschler et al [44], we write our equations in a frame rotating with the frequency of the pump laser and ∆ describes the atom-pump detuning which can generally be chosen large ∆ t, i,e .…”

Section: Modelmentioning

confidence: 99%

Quantum charge glasses of itinerant fermions with cavity-mediated long-range interactions

Müller¹,

Strack²,

Sachdev³

2012

Phys. Rev. A

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The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters. We study models of itinerant spinless fermions with random long-range interactions. We motivate such models from descriptions of fermionic atoms in multi-mode optical cavities. The solution of an infinite-range model yields a metallic phase which has glassy charge dynamics, and a localized glass phase with suppressed density of states at low energies. We compare these phases to the conventional disordered Fermi liquid, and the insulating electron glass of semiconductors. Prospects for the realization of such glassy phases in cold atom systems are discussed.

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“…In such a setup, a modified Bose-Hubbard model of the bosonic quantum gas can be reached and the influence of cavity-induced, longrange interactions between the atoms onto the superfluid to Mott-insulator phase transition has been investigated [6,[25][26][27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Cavity-induced chiral states of fermionic quantum gases

2016

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We investigate ultra-cold fermions placed into an optical cavity and subjected to optical lattices which confine the atoms to ladder structures. A transverse running-wave laser beam induces together with the dynamical cavity field a two-photon Raman-assisted tunneling process with spatially dependent phase imprint along the rungs of the ladders. We identify the steady states which can occur by the feedback mechanism between the cavity field and the atoms. We find the spontaneous emergence of a finite cavity field amplitude which leads to an artificial magnetic field felt by the fermionic atoms. These form a chiral insulating or chiral liquid state carrying a chiral current. We explore the rich state diagram as a function of the power of the transverse laser beam, the atomic filling, and the phase imprint during the cavity-induced tunneling. Both a sudden onset or a slow exponential activation with the transverse laser power of the self-organized chiral states can occur.

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Ultracold atoms in optical lattices generated by quantized light fields

Cited by 156 publications

References 53 publications

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

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

Quantum charge glasses of itinerant fermions with cavity-mediated long-range interactions

Cavity-induced chiral states of fermionic quantum gases

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