Emergent crystallinity and frustration with Bose–Einstein condensates in multimode cavities

Gopalakrishnan, Sarang; Lev, Benjamin; Goldbart, Paul M.

doi:10.1038/nphys1403

Cited by 221 publications

(325 citation statements)

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“…Our specific example is the self-organization phase transition of laser-driven atoms in an optical resonator [14][15][16][17][18][19]. The laser impinges on the atoms from a direction perpendicular to the resonator axis (see Fig.…”

Section: Arxiv:11074323v1 [Quant-ph] 21 Jul 2011mentioning

confidence: 99%

Critical exponent of a quantum-noise-driven phase transition: The open-system Dicke model

2011

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The quantum phase transition of the Dicke-model has been observed recently in a system formed by motional excitations of a laser-driven Bose-Einstein condensate coupled to an optical cavity [1]. The cavity-based system is intrinsically open: photons can leak out of the cavity where they are detected. Even at zero temperature, the continuous weak measurement of the photon number leads to an irreversible dynamics towards a steady-state which exhibits a dynamical quantum phase transition. However, whereas the critical point and the mean field is only slightly modified with respect to the phase transition in the ground state, the entanglement and the critical exponents of the singular quantum correlations are significantly different in the two cases.

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Section: Arxiv:11074323v1 [Quant-ph] 21 Jul 2011mentioning

confidence: 99%

Critical exponent of a quantum-noise-driven phase transition: The open-system Dicke model

2011

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“…For example, the organization of bosonic atoms into triangular or hexagonal lattices [33] or of fermionic atoms into super-radiant phases [34][35][36][37][38] have been pointed out. In more complex setups such as multi-mode cavities [39][40][41][42][43][44][45] complex disordered structures, such as glasses or complex supersolids have been proposed. Moreover, phases in which spinorbit coupling becomes important have been suggested in standing-wave cavities [46][47][48][49] or ring cavities [50,51].…”

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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“…A particular interesting generalization was introduced by considering this ordering phenomenon in degenerate multi-mode cavity fields and restricting the degrees of freedom of the particle motion to a 2D plane [16]. This opened a new possible route to study a wealth of important quantum solid state phenomena like emergent crystallinity, liquid crystalline phases [16,17] or quantum neural network models [18] in a well controllable atom-optical configuration. Due to the inherent complexity and technical difficulty of degenerate multi-mode setups, which require at least a 2D geometry, theoretical modeling as well as experimental implementations of such setups are very challenging and have, to our knowledge, not been implemented to date.…”

Section: Introductionmentioning

confidence: 99%

Self-ordering dynamics of ultracold atoms in multicolored cavity fields

Krämer

Ritsch

2014

Phys. Rev. A

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We study light induced spatial crystallization of ultracold quantum particles confined along the axis of a high-Q linear cavity via a transverse multicolor pump using numerical simulations.Whenever a pump frequency is tuned close to resonance with a longitudinal cavity mode, the dynamics favors bistable spatial particle ordering into a Bragg grating at a wavelength distance.Simultaneous pumping at several resonant frequencies fosters competition between the different spatial lattice orders, exhibiting complex nonlinear field dynamics involving several metastable atom-field states. For few particles even superpositions of different spatial orders entangled with different light mode amplitudes appear. By a proper choice of trap geometry and pump frequencies a broad variety of many particle Hamiltonians with a nontrivial long range coupling can be emulated in such a setup. When applying quantum Monte Carlo wave function simulations to study time evolution we find simultaneous super radiant scattering into several light modes and the buildup of strong non-classical atom field correlations.

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Emergent crystallinity and frustration with Bose–Einstein condensates in multimode cavities

Cited by 221 publications

References 21 publications

Critical exponent of a quantum-noise-driven phase transition: The open-system Dicke model

Critical exponent of a quantum-noise-driven phase transition: The open-system Dicke model

Cavity-induced chiral states of fermionic quantum gases

Self-ordering dynamics of ultracold atoms in multicolored cavity fields

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