Quantized vortex states of strongly interacting bosons in a rotating optical lattice

Bhat, Rajiv; Peden, Brandon; Seaman, Brian; Krämer, M.; Carr, Lincoln D.; Holland, Murray

doi:10.1103/physreva.74.063606

Cited by 24 publications

(40 citation statements)

References 36 publications

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“…While we focus on detecting topological order, synthetic gauge potentials can also lead to other interesting effects, such as pseudo-relativistic band structures [see the review [410] and the laboratory measurement of Zitterbewegung [32]] and vortex physics (see the review [60] and also Refs. [411][412][413][414][415]. Finally, the quantum simulation of quantum field theories, such as encountered in high-energy physics, is discussed in Sect.…”

Section: On a Chipmentioning

confidence: 99%

Light-induced gauge fields for ultracold atoms

et al. 2014

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Abstract. Gauge fields are central in our modern understanding of physics at all scales. At the highest energy scales known, the microscopic universe is governed by particles interacting with each other through the exchange of gauge bosons. At the largest length scales, our universe is ruled by gravity, whose gauge structure suggests the existence of a particle -the graviton-that mediates the gravitational force. At the mesoscopic scale, solid-state systems are subjected to gauge fields of different nature: materials can be immersed in external electromagnetic fields, but they can also feature emerging gauge fields in their low-energy description. In this review, we focus on another kind of gauge field: those engineered in systems of ultracold neutral atoms. In these setups, atoms are suitably coupled to laser fields that generate effective gauge potentials in their description. Neutral atoms "feeling" laser-induced gauge potentials can potentially mimic the behavior of an electron gas subjected to a magnetic field, but also, the interaction of elementary particles with non-Abelian gauge fields. Here, we review different realized and proposed techniques for creating gauge potentials -both Abelian and non-Abelian -in atomic systems and discuss their implication in the context of quantum simulation. While most of these setups concern the realization of background and classical gauge potentials, we conclude with more exotic proposals where these synthetic fields might be made dynamical, in view of simulating interacting gauge theories with cold atoms.arXiv:1308.6533v3 [cond-mat.quant-gas]

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Section: On a Chipmentioning

confidence: 99%

Light-induced gauge fields for ultracold atoms

et al. 2014

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“…However, there is an extra distinction that does not occur in the ring lattice. The pattern of m values taken on for five particles (see figure 9(e)) differs markedly from that of one particle (see figure 9(a)), whereas for bosons these patterns are essentially identical [42].…”

Section: Non-interacting Fermions In a Two-dimensional Square Latticementioning

confidence: 82%

“…For practical purposes, U = 100t, where t is the tunneling energy, is large enough to enter this regime [42]. The Hamiltonian for a ring-lattice is given by…”

Section: Strongly-interacting Bosonsmentioning

confidence: 99%

Quasi-angular momentum of Bose and Fermi gases in rotating optical lattices

Peden¹,

Bhat²,

Krämer³

et al. 2007

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

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Abstract. The notion of quasi-angular momentum is introduced to label the eigenstates of a Hamiltonian with a discrete rotational symmetry. This concept is recast in an operatorial form where the creation and annihilation operators of a Hubbard Hamiltonian carry units of quasi-angular momentum. Using this formalism, the ground states of ultracold gases of non-interacting fermions in rotating optical lattices are studied as a function of rotation, and transitions between states of different quasi-angular momentum are identified. In addition, previous results for stronglyinteracting bosons are re-examined and compared to the results for non-interacting fermions. Quasi-angular momentum can be used to distinguish between these two cases. Finally, an experimentally accessible signature of quasi-angular momentum is identified in the momentum distributions of single-particle eigenstates.arXiv:0707.0307v2 [cond-mat.other]

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“…and the path of integration is chosen to ensure the orthogonality of the Wannier functions [70,71]. Note, however, often this new Wannier function does not need to be calculated explicitly as integrals involving the rotating singleparticle Hamiltonian and Wannier functions can be re-expressed simply in terms of the non-rotating equivalents.…”

Section: A Wannier Functionsmentioning

confidence: 99%

Hubbard Model for Atomic Impurities Bound by the Vortex Lattice of a Rotating Bose-Einstein Condensate

et al. 2016

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We investigate cold bosonic impurity atoms trapped in a vortex lattice formed by condensed bosons of another species. We describe the dynamics of the impurities by a bosonic Hubbard model containing occupation-dependent parameters to capture the effects of strong impurity-impurity interactions. These include both a repulsive direct interaction and an attractive effective interaction mediated by the Bose-Einstein condensate. The occupation dependence of these two competing interactions drastically affects the Hubbard model phase diagram, including causing the disappearance of some Mott lobes.

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Quantized vortex states of strongly interacting bosons in a rotating optical lattice

Cited by 24 publications

References 36 publications

Light-induced gauge fields for ultracold atoms

Light-induced gauge fields for ultracold atoms

Quasi-angular momentum of Bose and Fermi gases in rotating optical lattices

Hubbard Model for Atomic Impurities Bound by the Vortex Lattice of a Rotating Bose-Einstein Condensate

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