Single-Atom Density of States of an Optical Lattice

Hooley, C.; Quintanilla, Jorge

doi:10.1103/physrevlett.93.080404

Cited by 59 publications

(94 citation statements)

References 19 publications

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“…In the case of nonvanishing V T the single-particle eigenstates become qualitatively different [205][206][207][208]. They can be separated into two parts and some transient regime between those.…”

Section: Harmonic Trapmentioning

confidence: 98%

Ultracold bosons with short-range interaction in regular optical lattices

2016

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During the last decade, many exciting phenomena have been experimentally observed and theoretically predicted for ultracold atoms in optical lattices. This paper reviews these rapid developments concentrating mainly on the theory. Different types of the bosonic systems in homogeneous lattices of different dimensions as well as in the presence of harmonic traps are considered. An overview of the theoretical methods used for these investigations as well as of the obtained results is given. Available experimental techniques are presented and discussed in connection with theoretical considerations. Eigenstates of the interacting bosons in homogeneous lattices and in the presence of harmonic confinement are analyzed. Their knowledge is essential for understanding of quantum phase transitions at zero and finite temperature.

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Section: Harmonic Trapmentioning

confidence: 98%

Ultracold bosons with short-range interaction in regular optical lattices

2016

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“…1. The pairs of degenerate states with indices k = 2|j| + 1 and k ′ = 2|j| + 2 are localised around sites j = ±|j| (|j| > j max ) equidistant from the center of the parabolic potential, the corresponding energies being given by E k,k ′ ≈ Ωj 2 [4,5]. For such states, the localization occurs because, for large enough |j|, the transitions |1 j → |1 j±1 effected by the last term of Hamiltonian (1) become non-resonant and the particle tunneling between neighboring lattice sites is suppressed.…”

Section: The Modelmentioning

confidence: 99%

Quantum dynamics of one and two bosonic atoms in a combined tight-binding periodic and weak parabolic potential

Valiente

Petrosyan

2008

Europhys. Lett.

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Strongly interacting bosonic particles in a tight-binding periodic potential superimposed by a weak parabolic trap is a paradigm for many cold atom experiments. Here, after revisiting the single particle problem, we study interaction-bound dimers of bosonic atoms in the combined lattice and parabolic potential. We consider both repulsively-and attractively-bound dimers and find pronounced differences in their behaviour. We identify conditions under which attractive and repulsive dimers exhibit analogous dynamics. Our studies reveal that coherent transport and periodic oscillations of appropriately prepared one-and two-atom wavepackets can be achieved, which may facilitate information transfer in optical lattice based quantum computation schemes.

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“…Typically this condition is satisfied if the harmonic trapping frequency is small compared to the tunneling rate, ω c ≪ t. Second, we require that the two points in our correlation function, x and y, are separated by a distance much smaller than the size of the cloud. Thus there is an upper limit on the length scale over which we can measure D xy [12]. If D xy decays sufficiently rapidly, then we can completely characterize this function by experiments on a finite cloud.…”

Section: Introductionmentioning

confidence: 99%

Even-odd correlation functions on an optical lattice

Kapit

Mueller

2010

Phys. Rev. A

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We study how different many body states appear in a quantum gas microscope, such as the one developed at Harvard [Bakr et al. Nature 462, 74 (2009)], where the site-resolved parity of the atom number is imaged. We calculate the spatial correlations of the microscope images, corresponding to the correlation function of the parity of the number of atoms at each site. We produce analytic results for a number of well-known models: noninteracting bosons, the large U Bose-Hubbard model, and noninteracting fermions. We find that these parity correlations tend to be less strong than density-density correlations, but they carry similar information.

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Single-Atom Density of States of an Optical Lattice

Cited by 59 publications

References 19 publications

Ultracold bosons with short-range interaction in regular optical lattices

Ultracold bosons with short-range interaction in regular optical lattices

Quantum dynamics of one and two bosonic atoms in a combined tight-binding periodic and weak parabolic potential

Even-odd correlation functions on an optical lattice

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