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We experimentally show that dipolar interaction can stabilize otherwise unstable many-body systems like an attractive Bose gas. In a one dimensional lattice the repulsive dipolar on-site interaction balances negative scattering lengths up…

Quantum Gases · Physics 2012-02-03 S. Müller , J. Billy , E. A. L. Henn , H. Kadau , A. Griesmaier , M. Jona-Lasinio , L. Santos , T. Pfau

We demonstrate that electron-phonon interaction in quantum dots embedded in one-dimensional systems leads to pronounced, non-Markovian decoherence of optical transitions. The experiments we present focus on the lineshape of…

Mesoscale and Nanoscale Physics · Physics 2012-09-18 Christophe Galland , Alexander Högele , Hakan E. Türeci , Ataç Imamoğlu

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

The Dicke-Ising model describes cavity quantum electrodynamics setups in which dipoles couple not only with the photonic cavity field but also to each other through dipole-dipole interaction. In this work we diagonalise such a model in…

Quantum Physics · Physics 2017-12-06 Erika Cortese , Luigi Garziano , Simone De Liberato

We consider a class of models describing an ensemble of identical interacting agents subject to multiplicative noise. In the thermodynamic limit, these systems exhibit continuous and discontinuous phase transitions in a, generally,…

Statistical Mechanics · Physics 2023-10-27 Niccolò Zagli , Grigorios A. Pavliotis , Valerio Lucarini , Alexander Alecio

We calculate the reduced density matrix for a system of coupled harmonic oscillators in a bosonic heat bath using the Born-Markov approximation and show that the expectation values of position and momentum evolve like classical quantities.…

Statistical Mechanics · Physics 2011-08-09 Björn Bartels

Bosonic atoms confined in optical lattices are described by the Bose-Hubbard model and can exist in two different phases, Mott insulator or superfluid, depending on the strength of the system parameters. In the vicinity of the phase…

Quantum Gases · Physics 2020-07-30 Felipe Taha Sant'Ana

We consider a linear phonon Boltzmann equation with a reflecting/transmitting/absorbing interface. This equation appears as the Boltzmann-Grad limit for the energy density function of a harmonic chain of oscillators with inter-particle…

Mathematical Physics · Physics 2019-03-08 Giada Basile , Tomasz Komorowski , Stefano Olla

In this paper we study an impurity in Bose-Einstein-Condensate system at $T=0K$ and suppose the contact forms for boson-boson and boson-impurity interactions. Using Bogoliubov theory and a further approximation corresponding to only think…

Statistical Mechanics · Physics 2011-05-19 Beibing Huang , Shaolong Wan

We analyze dynamics of the infinite-dimensional Bose-Hubbard model with spatially inhomogeneous dissipation in the hardcore boson limit by solving the Lindblad master equation with use of the Gutzwiller variational method. We consider…

Quantum Gases · Physics 2022-03-16 Shiono Asai , Shimpei Goto , Ippei Danshita

For a class of interacting particle systems in continuous space, we show that finite-volume approximations of the bulk diffusion matrix converge at an algebraic rate. The models we consider are reversible with respect to the Poisson…

Probability · Mathematics 2021-12-07 Arianna Giunti , Chenlin Gu , Jean-Christophe Mourrat

We present a comprehensive study of the static properties of a mobile impurity interacting with a bath with a few particles trapped in a one-dimensional harmonic trap. We consider baths with either identical bosons or distinguishable…

Quantum Gases · Physics 2024-04-03 Abel Rojo-Francàs , Felipe Isaule , Bruno Juliá-Díaz

We consider long-range correlated disorder and mutual interacting particles according to a dipole-dipole coupling as modifications to the one-dimensional Anderson model. Technically we rely on the (numerical) exact diagonalization of the…

Quantum Gases · Physics 2012-01-11 Conrad Albrecht , Sandro Wimberger

The Hubbard model of bosons on two dimensional lattices with a lowest flat band is discussed. In these systems there is a critical density, where the ground state is known exactly and can be represented as a charge density wave. Above this…

Quantum Gases · Physics 2015-08-18 Petra Pudleiner , Andreas Mielke

We provide a theoretical framework describing slow-light polaritons interacting via atomic Rydberg states. We use a diagrammatic method to analytically derive the scattering properties of two polaritons. We identify parameter regimes where…

We investigate the coupled dynamics of charge and energy in interacting lattice models with dipole conservation. We formulate a generic hydrodynamic theory for this combination of fractonic constraints and numerically verify its…

Quantum Gases · Physics 2022-05-31 A. G. Burchards , J. Feldmeier , A. Schuckert , M. Knap

We show anisotropy of the dipole interaction between magnetic atoms or polar molecules can stabilize new quantum phases in an optical lattice. Using a well controlled numerical method based on the tensor network algorithm, we calculate…

Quantum Gases · Physics 2013-05-29 Y. -H. Chan , Y. -J. Han , L. -M. Duan

We propose a general numerical approach to open quantum systems with a coupling to bath degrees of freedom. The technique combines the methodology of polynomial expansions of spectral functions with the sparse grid concept from…

Statistical Mechanics · Physics 2015-05-13 A. Alvermann , H. Fehske

Strongly interacting systems of dipolar bosons in three dimensions confined by harmonic traps are analyzed using the exact Path Integral Ground State Monte Carlo method. By adding a repulsive two-body potential, we find a narrow window of…

Quantum Gases · Physics 2016-11-15 A. Macia , J. Sánchez-Baena , J. Boronat , F. Mazzanti

We develop an efficient variational approach to studying dynamics of a localized quantum spin coupled to a bath of mobile spinful bosons. We use parity symmetry to decouple the impurity spin from the environment via a canonical…

Strongly Correlated Electrons · Physics 2019-11-04 Yuto Ashida , Tao Shi , Richard Schmidt , H. R. Sadeghpour , J. Ignacio Cirac , Eugene Demler
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