Disordered ultracold atomic gases in optical lattices: A case study of Fermi-Bose mixtures

Ahufinger, V.; Sanchez-Palencia, Laurent; Kantian, Adrian; Sanpera, Anna; Lewenstein, Maciej

doi:10.1103/physreva.72.063616

Cited by 67 publications

(100 citation statements)

References 211 publications

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“…A proposal for the analog simulation of the Lipkin-Meshkov-Glick model and complex quantum systems, such as Sherrington-Kirkpatrick (SK) spin glasses, using superconducting qubits in circuit QED was given in (Tsomokos et al, 2008). Spin glasses could also be studied using Fermi-Bose mixtures in inhomogeneous and random optical lattices as suggested in (Ahufinger et al, 2005;Sanpera et al, 2004).…”

Section: Fig 21mentioning

confidence: 99%

Quantum simulation

2014

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Simulating quantum mechanics is known to be a difficult computational problem, especially when dealing with large systems. However, this difficulty may be overcome by using some controllable quantum system to study another less controllable or accessible quantum system, i.e., quantum simulation. Quantum simulation promises to have applications in the study of many problems in, e.g., condensed-matter physics, high-energy physics, atomic physics, quantum chemistry and cosmology. Quantum simulation could be implemented using quantum computers, but also with simpler, analog devices that would require less control, and therefore, would be easier to construct. A number of quantum systems such as neutral atoms, ions, polar molecules, electrons in semiconductors, superconducting circuits, nuclear spins and photons have been proposed as quantum simulators. This review outlines the main theoretical and experimental aspects of quantum simulation and emphasizes some of the challenges and promises of this fast-growing field.

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Section: Fig 21mentioning

confidence: 99%

Quantum simulation

2014

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“…Since their experimental realization, optical-lattice systems have initiated intensive studies and led to a multitude of new applications such as entanglement of atoms [24,25], quantum teleportation [26], Bell state experiments [27], disorder [28][29][30][31], and ultra-cold molecules [32,33], to name but a few. Unfortunately, the experimental approaches discussed so far face some crucial limitations.…”

Section: A Optical Latticesmentioning

confidence: 99%

Ginzburg-Landau theory for the Jaynes-Cummings-Hubbard model

Nietner¹,

Pelster²

2012

Phys. Rev. A

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We develop a Ginzburg-Landau theory for the Jaynes-Cummings-Hubbard model which effectively describes both static and dynamic properties of photons evolving in a cubic lattice of cavities, each filled with a two-level atom. To this end we calculate the effective action to first-order in the hopping parameter. Within a Landau description of a spatially and temporally constant order parameter we calculate the finite-temperature mean-field quantum phase boundary between a Mott insulating and a superfluid phase of polaritons. Furthermore, within the Ginzburg-Landau description of a spatio-temporal varying order parameter we determine the excitation spectra in both phases and, in particular, the sound velocity of light in the superfluid phase.

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“…[59] on disordered Bose-Fermi mixtures: There, the system is placed on a random lattice, and the limit of very strong interactions is taken, so that various composite particles are created. This results in an effective Hamiltonian with random couplings for the composite particles, allowing for localized, metallic, and Mott-insulating phases of the latter.…”

Section: Introductionmentioning

confidence: 99%

Mixtures of ultracold atoms in one-dimensional disordered potentials

Crépin¹,

Zaránd²,

Simon³

2012

Phys. Rev. A

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We study interacting one-dimensional two-component mixtures of cold atoms in a random potential, and extend the results reported earlier [Phys. Rev. Lett. 105, 115301 (2010)]. We construct the phase diagram of a disordered Bose-Fermi mixture as a function of the strength of the Bose-Bose and Bose-Fermi interactions, and the ratio of the bosonic sound velocity and the Fermi velocity. Performing renormalization group and variational calculations, three phases are identified: (i) a fully delocalized two-component Luttinger liquid with superfluid bosons and fermions, (ii) a fully localized phase with both components pinned by disorder, and (iii) an intermediate phase where fermions are localized but bosons are superfluid. Within the variational approach, each phase corresponds to a different level of replica symmetry breaking. In the fully localized phase we find that the bosonic and fermionic localization lengths can largely differ. We also compute the long-wavelength asymptotic behavior of the momentum distribution as well as that of the structure factor of the atoms (both experimentally accessible), and discuss how the three phases can be experimentally distinguished.

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Disordered ultracold atomic gases in optical lattices: A case study of Fermi-Bose mixtures

Cited by 67 publications

References 211 publications

Quantum simulation

Quantum simulation

Ginzburg-Landau theory for the Jaynes-Cummings-Hubbard model

Mixtures of ultracold atoms in one-dimensional disordered potentials

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