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We investigate the static and dynamic properties of bosonic lattice systems in which condensed and Mott insulating phases co-exist due to the presence of a spatially-varying potential. We formulate a description of these inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Smitha Vishveshwara , Courtney Lannert

We study the ground-state properties of ultracold bosonic atoms in a state-dependent graphene-like honeycomb optical lattice, where the degeneracy between the two triangular sublattices A and B can be lifted. We discuss the various…

Motivated to elucidate the nature of quantum phases and their criticality when entangled with a correlated quantum bath, we study interacting bosons on a "comb lattice" -- a one-dimensional backbone (system) coupled at its sites to…

Quantum Gases · Physics 2025-08-20 Leo Radzihovsky , Emil Pellett

We analyze the ground-state entanglement entropy of the extended Bose-Hubbard model with infinite-range interactions. This model describes the low-energy dynamics of ultracold bosons tightly bound to an optical lattice and dispersively…

Quantum Gases · Physics 2022-10-18 Shraddha Sharma , Simon B. Jaeger , Rebecca Kraus , Tommaso Roscilde , Giovanna Morigi

The connectivity and tunability of superconducting quantum devices provide a rich platform to build quantum simulators and study novel many-body physics. Here we study quantum phase transition in a detuned multi-connected Jaynes-Cummings…

Quantum Physics · Physics 2015-06-01 Kangjun Seo , Lin Tian

Advances in pure optical trapping techniques now allow the creation of degenerate Bose gases with internal degrees of freedom. Systems such as ${}^{87}$Rb, $^{39}$K or ${}^{23}$Na in the $F=1$ hyperfine state offer an ideal platform for…

A system of neutral atoms trapped in an optical lattice and dispersively coupled to the field of an optical cavity can realize a variation of the Bose-Hubbard model with infinite-range interactions. This model exhibits a first order quantum…

Quantum Physics · Physics 2018-02-09 Sascha Wald , Andre Timpanaro , Cecilia Cormick , Gabriel T. Landi

Quasicrystals exhibit exotic properties inherited from the self-similarity of their long-range ordered, yet aperiodic, structure. The recent realization of optical quasicrystal lattices paves the way to the study of correlated Bose fluids…

Quantum Gases · Physics 2021-03-22 Ronan Gautier , Hepeng Yao , Laurent Sanchez-Palencia

The cooperative modification of spontaneous radiative decay is a paradigmatic many-emitter effect in quantum optics. So far its experimental realization has involved interactions mediated by rapidly escaping photons that do not play an…

Quantum Physics · Physics 2025-01-22 Youngshin Kim , Alfonso Lanuza , Dominik Schneble

The Mott transition, a metal-insulator transition due to strong electronic interaction, is observed in many materials without an accompanying change of system symmetry. An important open question in Mott's proposal is the role of long-range…

Strongly Correlated Electrons · Physics 2025-12-30 Zi-Jian Lang , Sudeshna Sen , Pak Ki Henry Tsang , Kristjan Haule , Vladimir Dobrosavljević , Wei Ku

We study the ground-state properties of mixtures of strongly interacting bosonic atoms in an optical lattice. Applying a mean-field approximation to the Hubbard model for Bose-Bose mixtures, we calculate the densities and superfluid order…

Other Condensed Matter · Physics 2010-10-22 Takeshi Ozaki , Tetsuro Nikuni

We consider strongly interacting boson-boson mixtures on one-dimensional lattices and, by adopting a qualitative mean-field approach, investigate their quantum phases as the interspecies repulsion is increased. In particular, we analyze the…

Other Condensed Matter · Physics 2009-09-29 P. Buonsante , S. M. Giampaolo , F. Illuminati , V. Penna , A. Vezzani

Recent experiments with ultracold Rydberg-excited atoms have shown that long-range interactions can give rise to spatially ordered structures. Observation of crystalline phases in a system with Rydberg atoms loaded into an optical lattice…

Quantum Gases · Physics 2019-07-03 Jaromir Panas , Mathieu Barbier , Andreas Geißler , Walter Hofstetter

We investigate the existence of quantum {\it quasi} phase transitions for an ensemble of ultracold bosons in a one-dimensional optical lattice, performing exact diagonalizations of the Bose-Hubbard Hamiltonian. When an external parabolic…

Condensed Matter · Physics 2009-11-10 G. Pupillo , E. Tiesinga , C. J. Williams

We present a theoretical analysis of the phase diagram of two--component bosons on an optical lattice. A new formalism is developed which treats the effective spin interactions in the Mott and superfluid phases on the same footing. Using…

Soft Condensed Matter · Physics 2009-11-10 Ehud Altman , Walter Hofstetter , Eugene Demler , Mikhail D. Lukin

We use quantum Monte Carlo and exact diagonalization calculations to study the Mott-insulator to superconductor quantum phase transition in a two-dimensional fermionic Hubbard model with attractive interactions in the presence of a…

Strongly Correlated Electrons · Physics 2015-10-07 Rubem Mondaini , Predrag Nikolic , Marcos Rigol

We study a two-species bosonic Hubbard model on a two-dimensional square lattice by means of quantum Monte Carlo simulations. In addition to the usual contact repulsive interactions between the particles, the Hamiltonian has an…

Quantum Gases · Physics 2012-05-22 L. de Forges de Parny , F. Hébert , V. G. Rousseau , R. T. Scalettar , G. G. Batrouni

We examine particle entanglement, characterized by pseudo-spin squeezing, of spin-1 bosonic atoms with coupled ground states in a one-dimensional optical lattice. Both the superfluid and Mott-insulator phases are investigated separately for…

Quantum Gases · Physics 2016-08-14 B. Öztop , M. Ö. Oktel , Ö. E. Müstecaplıoğlu , L. You

Critical behavior developed near a quantum phase transition, interesting in its own right, offers exciting opportunities to explore the universality of strongly-correlated systems near the ground state. Cold atoms in optical lattices, in…

Quantum Gases · Physics 2011-04-21 Xibo Zhang , Chen-Lung Hung , Shih-Kuang Tung , Nathan Gemelke , Cheng Chin

We discuss the superfluid to Mott insulator transition of an atomic Bose gas in an optical lattice with high filling factors. We show that also in this multi-band situation, the long-wavelength physics is described by a single-band…

Statistical Mechanics · Physics 2014-10-13 D. van Oosten , P. van der Straten , H. T. C. Stoof