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Via the hierarchy of correlations, we study the Mott insulator phase of the Fermi-Hubbard model in the limit of strong interactions and derive a quantum Boltzmann equation describing its relaxation dynamics. In stark contrast to the weakly…

Quantum Physics · Physics 2019-11-27 Friedemann Queisser , Ralf Schützhold

Interacting bosons with two "spin'' states in a lattice show novel superfluid-insulator phase transitions in the presence of spin-orbit coupling. Depending on the parameter regime, bosons in the superfluid phase can condense to either a…

Strongly Correlated Electrons · Physics 2015-12-09 Sangita De Sarkar , Rajdeep Sensarma , K. Sengupta

We calculate density-density correlations of an expanding gas of strongly attractive ultra-cold spin-1/2 fermions in an optical lattice. The phase diagram of the tightly bound fermion pairs exhibits a Bose-Einstein condensed state and a…

Quantum Gases · Physics 2010-03-10 O. Fialko , K. Ziegler

We study the effects of interaction between bosons and fermions in a Bose-Fermi mixtures loaded in an optical lattice. We concentrate on the destruction of a bosonic Mott phase driven by repulsive interaction between bosons and fermions.…

Statistical Mechanics · Physics 2009-11-13 F. Hebert , F. Haudin , L. Pollet , G. G. Batrouni

We study the quantum phase transitions between superfluid and Mott insulator states for ultracold bosons occupying two bands of an optical lattice. The two atomic states are resonantly coupled by a single cavity mode which mediates…

Quantum Physics · Physics 2009-11-12 Hashem Zoubi , Helmut Ritsch

An interesting first order type phase transition between Mott lobes has been reported in Phys. Rev. Lett. 109, 135302 (2012) for a two-dimensional Bose-Hubbard model in the presence of attractive three-body interaction. We re-visit the…

Quantum Gases · Physics 2018-08-22 Manpreet Singh , Sebastian Greschner , Tapan Mishra

We study the Mott insulator-superfluid transition of ultracold bosonic atoms in a two-dimensional square optical lattice in the presence of a synthetic magnetic field with p/q (p and q being co-prime integers) flux quanta passing through…

Strongly Correlated Electrons · Physics 2015-05-18 S. Sinha , K. Sengupta

The collapses and revivals of a coherent matter wave field of interacting particles can serve as a sensitive interferometric probe of the interactions and the number statistics of the underlying quantum field. Here we show how the ability…

We analyze theoretically the experiment reported in [F. Gerbier et al, cond-mat/0503452], where the interference pattern produced by an expanding atomic cloud in the Mott insulator regime was observed. This interference pattern, indicative…

Other Condensed Matter · Physics 2007-05-23 Fabrice Gerbier , Artur Widera , Simon Foelling , Olaf Mandel , Tatjana Gericke , Immanuel Bloch

Strongly correlated bosons in a lattice are a platform to realize rich bosonic states of matter and quantum phase transitions. While strongly correlated bosons in a lattice have been studied in cold-atom experiments, their realization in a…

Mesoscale and Nanoscale Physics · Physics 2023-05-09 Yihang Zeng , Zhengchao Xia , Roei Dery , Kenji Watanabe , Takashi Taniguchi , Jie Shan , Kin Fai Mak

In recent years it has been shown how approximate bosonization can be used to justify the random phase approximation for the correlation energy of interacting fermions in a mean-field scaling limit. At the core is the interpretation of…

Mathematical Physics · Physics 2026-05-08 Niels Benedikter

Excitons, Coulomb-bound electron-hole pairs, play a fundamental role in both optical excitation and correlated phenomena in solids. When an exciton interacts with other quasi-particles, few- and many-body excited states, such as trions,…

We investigate the many-body dissipative dynamics of fermionic atoms in an optical lattice in the presence of incoherent light scattering. Deriving and solving a master equation to describe this process microscopically for many particles,…

Quantum Gases · Physics 2015-01-16 Saubhik Sarkar , Stephan Langer , Johannes Schachenmayer , Andrew J. Daley

We study properties of a class of spin singlet Mott states for arbitrary spin S bosons on a lattice, with particle number per cite n=S/l+1, where l is a positive integer. We show that such a singlet Mott state can be mapped to a bosonic…

Quantum Gases · Physics 2014-02-04 Biao Lian , Shou-Cheng Zhang

Conventional wisdom is that increasing temperature causes quantum coherence to decrease. Using finite temperature perturbation theory and exact calculations for the strongly correlated bosonic Mott insulating state we show a practical…

Quantum Gases · Physics 2015-05-20 E. Toth , P. B. Blakie

We study the interplay between large-spin, spin-orbit coupling, and superfluidity for bosons in a two dimensional optical lattice, focusing on the spin-1 spin-orbit coupled system recently realized at the Joint Quantum Institute [Campbell…

Quantum Gases · Physics 2016-02-10 J. H. Pixley , Stefan S. Natu , I. B. Spielman , S. Das Sarma

Development of the STM and ARPES spectroscopies enabled to reach the resolution level sufficient for detecting the particle-hole entanglement in superconducting materials. On a quantitative level one can characterize such entanglement in…

Superconductivity · Physics 2010-04-23 T. Domanski

An unconventional type of the Mott's insulators where the gap in the spectrum of single-particle excitations is associated with repulsive effective interactions between quasiparticles is shown to exist in strongly correlated electron…

Strongly Correlated Electrons · Physics 2016-09-21 V. A. Khodel

Ultracold atoms in optical lattices undergo a quantum phase transition from a superfluid to a Mott insulator as the lattice potential depth is increased. We describe an approximate theory of interacting bosons in optical lattices which…

Quantum Gases · Physics 2011-09-23 Dagim Tilahun , R. A. Duine , A. H. MacDonald

We prove that the Mott insulating state is characterized by a divergence of the electron self energy at well-defined values of momenta in the first Brillouin zone. When particle-hole symmetry is present, the divergence obtains at the…

Strongly Correlated Electrons · Physics 2013-05-29 Tudor D. Stanescu , Philip W. Phillips , Ting-Pong Choy