Bose-Hubbard models coupled to cavity light fields

Silver, A. O.; Hohenadler, Martin; Bhaseen, M. J.; Simons, Benjamin D.

doi:10.1103/physreva.81.023617

Cited by 28 publications

(47 citation statements)

References 94 publications

(224 reference statements)

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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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Section: Introductionmentioning

confidence: 99%

Cavity-induced chiral states of fermionic quantum gases

2016

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“…Related bosonic versions (Bose Hubbard models coupled to cavity photons) were considered in Ref. 19, wherein a superradiant Mott insulating phase, displaying entanglement of the charge of the atoms with a cavity mode, was found. Optomechanical applications of degenerate fermions in a cavity were considered previously in Ref.…”

Section: Introductionmentioning

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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“…Combining these two directions, the interdisciplinary field of ultracold atoms inside a cavity opens up opportunities to study new phenomena due to the interplay between strongly interacting quantum matters of atoms and their interaction with the single mode cavity light, which are expected to be much richer than those described by the Dicke model. Quite a few recent theoretical works have studied the Bose-Hubbard model (BHM) [4][5][6][7][8][9][10] and the unitary Fermi gas inside a cavity [11].Lately, both the Hamburg and the ETH groups have experimentally succeeded in loading three-dimensional degenerate bosonic atomic gases in optical lattices inside a cavity, with slight difference in their setups [12,13]. The ETH group used a pumping beam (along thex direction) and two external lattice beams (along theŷ andẑ direction) to form a three-dimensional lattice, as schemed in Fig.…”

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confidence: 99%

Quantum phase transitions of the Bose-Hubbard model inside a cavity

Chen

Zhai

2016

Phys. Rev. A

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The superfluid to Mott insulator transition and the superradiant transition are textbook examples for quantum phase transition and coherent quantum optics, respectively. Recent experiments in ETH and Hamburg succeeded in loading degenerate bosonic atomic gases in optical lattices inside a cavity, which enables the first experimental study of the interplay between these two transitions. In this letter we present the theoretical phase diagram for the ETH experimental setup, and determine the phase boundaries and the orders of the phase transitions between the normal superfluid phase, the superfluid with superradiant light, the normal Mott insulator and the Mott insulator with superradiant light. We find that in contrast to the second-order superradiant transition in a weakly interacting Bose condensate, strong correlations in the superfluid nearby a Mott transition can render the superradiant transition to a first order one. Our results will stimulate further experimental studies of interactions between cavity light and strongly interacting quantum matters.The field of cavity QED has focused on studying the consequences of strong couplings between the internal degrees of freedom of an atom and a single mode of a light field [1]. One of the most famous models of this field is the Dicke model, where each atom is simply described by a two-level system and both the spatial motions of atoms and the interactions between atoms are ignored. The coherent coupling between atoms and the cavity light leads to a collective phenomenon known as " superradiance " [2]. On the other hand, recent developments in ultracold atomic gases have greatly advanced our understanding of strongly interacting quantum gases, examples of which include the Hubbard model in optical lattices and the unitary Fermi gas with a large scattering length [3]. Combining these two directions, the interdisciplinary field of ultracold atoms inside a cavity opens up opportunities to study new phenomena due to the interplay between strongly interacting quantum matters of atoms and their interaction with the single mode cavity light, which are expected to be much richer than those described by the Dicke model. Quite a few recent theoretical works have studied the Bose-Hubbard model (BHM) [4][5][6][7][8][9][10] and the unitary Fermi gas inside a cavity [11].Lately, both the Hamburg and the ETH groups have experimentally succeeded in loading three-dimensional degenerate bosonic atomic gases in optical lattices inside a cavity, with slight difference in their setups [12,13]. The ETH group used a pumping beam (along thex direction) and two external lattice beams (along theŷ andẑ direction) to form a three-dimensional lattice, as schemed in Fig. 1, in which the bosonic atoms can undergo a superfluid (SF) to Mott insulator (MI) transition when the lattice depth increases. In addition, solely tuning the strength of the pumping beam can drive a superradiant transition where the expectation value of the cavity light field (along theẑ direction) changes from zero to finite...

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Bose-Hubbard models coupled to cavity light fields

Cited by 28 publications

References 94 publications

Cavity-induced chiral states of fermionic quantum gases

Cavity-induced chiral states of fermionic quantum gases

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

Quantum phase transitions of the Bose-Hubbard model inside a cavity

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