Imaging of quantum Hall states in ultracold atomic gases

Douglas, James S.; Burnett, K.

doi:10.1103/physreva.84.053608

Cited by 19 publications

(30 citation statements)

References 44 publications

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“…For example, the thermometry of fermions in optical lattices based on light scattering was suggested in Refs. [36,37], where the idea of the light detection outside the diffraction maxima was shown useful as well.…”

Section: A Model For Probing Bosons In Optical Latticesmentioning

confidence: 99%

Quantum optics with ultracold quantum gases: towards the full quantum regime of the light–matter interaction

Mekhov¹,

Ritsch²

2012

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

174

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Although the study of ultracold quantum gases trapped by light is a prominent direction of modern research, the quantum properties of light were widely neglected in this field. Quantum optics with quantum gases closes this gap and addresses phenomena, where the quantum statistical nature of both light and ultracold matter play equally important roles. First, light can serve as a quantum nondemolition (QND) probe of the quantum dynamics of various ultracold particles from ultracold atomic and molecular gases to nanoparticles and nanomechanical systems. Second, due to dynamic light-matter entanglement, projective measurement-based preparation of the many-body states is possible, where the class of emerging atomic states can be designed via optical geometry. Light scattering constitutes such a quantum measurement with controllable measurement back-action. As in cavity-based spin squeezing, atom number squeezed and Schrödinger cat states can be prepared. Third, trapping atoms inside an optical cavity one creates optical potentials and forces, which are not prescribed but quantized and dynamical variables themselves. Ultimately, cavity QED with quantum gases requires a self-consistent solution for light and particles, which enriches the picture of quantum many-body states of atoms trapped in quantum potentials. This will allow quantum simulations of phenomena related to the physics of phonons, polarons, polaritons and other quantum quasiparticles.

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Section: A Model For Probing Bosons In Optical Latticesmentioning

confidence: 99%

Quantum optics with ultracold quantum gases: towards the full quantum regime of the light–matter interaction

Mekhov¹,

Ritsch²

2012

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

174

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“…, L − 1. Equation (18) shows that the fluctuations are given by the occupation of higher momentum states, and φ x ≡ √ n 0 , for which Eq. (17) yields the mean-field value of the chemical potential…”

Section: The Bogoliubov Approximation For Weak Interactionmentioning

confidence: 99%

“…Elastic and inelastic scattering of photons has been exploited for the analysis of ultracold gases, both theoretically [16][17][18][19][20][21][22][23] and experimentally [24][25][26][27][28][29]. Most recently, inelastic scattering of matter waves has been shown to allow a clear distinction of the Mott and superfluid states of bosons in an optical lattice [30].…”

Section: Introductionmentioning

confidence: 99%

Matter-wave scattering from interacting bosons in an optical lattice

2014

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We study the scattering of matter-waves from interacting bosons in a one-dimensional optical lattice, described by the Bose-Hubbard Hamiltonian. We derive analytically a formula for the inelastic cross section as a function of the atomic interaction in the lattice, employing Bogoliubov's formalism for small condensate depletion. A linear decay of the inelastic cross section for weak interaction, independent of number of particles, condensate depletion and system size, is found.

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“…This situation is quite different from the one encountered when light is used to measure the state of a quantum gas [48,49]: There, the mechanical effects of the scattered photons heat the atom and significantly perturb the state. In our case, instead, the mechanical effects of the cavity photons trap the atoms in the BG phase.…”

Section: B Two-dimensional Latticementioning

confidence: 81%

Quantum phases of incommensurate optical lattices due to cavity backaction

et al. 2013

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Ultracold bosonic atoms are confined by an optical lattice inside an optical resonator and interact with a cavity mode, whose wave length is incommensurate with the spatial periodicity of the confining potential. We predict that the intracavity photon number can be significantly different from zero when the atoms are driven by a transverse laser whose intensity exceeds a threshold value and whose frequency is suitably detuned from the cavity and the atomic transition frequency. In this parameter regime the atoms form clusters in which they emit in phase into the cavity. The clusters are phase locked, thereby maximizing the intracavity photon number. These predictions are based on a Bose-Hubbard model, whose derivation is here reported in detail. The BoseHubbard Hamiltonian has coefficients which are due to the cavity field and depend on the atomic density at all lattice sites. The corresponding phase diagram is evaluated using Quantum Monte Carlo simulations in onedimension and mean-field calculations in two dimensions. Where the intracavity photon number is large, the ground state of the atomic gas lacks superfluidity and possesses finite compressibility, typical of a Bose-glass.

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Imaging of quantum Hall states in ultracold atomic gases

Cited by 19 publications

References 44 publications

Quantum optics with ultracold quantum gases: towards the full quantum regime of the light–matter interaction

Quantum optics with ultracold quantum gases: towards the full quantum regime of the light–matter interaction

Matter-wave scattering from interacting bosons in an optical lattice

Quantum phases of incommensurate optical lattices due to cavity backaction

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