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We investigate the behavior of the quasi-particle energy gap near quantum phase transitions in a two-dimensional disordered boson Hubbard model at a commensurate filling. Via Monte Carlo simulations of ensembles with fixed numbers of…

Strongly Correlated Electrons · Physics 2009-11-11 Ji-Woo Lee , Min-Chul Cha

At zero temperature, two-site dynamical mean field theory is applied to the Dynamic Hubbard model. The Dynamic Hubbard model describes the orbital relaxation that occurs when two electrons occupy the same site, by using a two-level boson…

Strongly Correlated Electrons · Physics 2010-12-16 G. Bach , J. E. Hirsch , F. Marsiglio

An SU(2) lattice gauge theory with two doublets of complex scalar fields is considered. All continuous symmetries are identified and, using the nonperturbative methods of lattice field theory, the phase diagram is mapped out by direct…

High Energy Physics - Lattice · Physics 2010-09-02 Randy Lewis , R. M. Woloshyn

Strongly interacting bosons in 2D in a rotating square lattice are investigated via a modified Bose-Hubbard Hamiltonian. Such a system corresponds to a rotating lattice potential imprinted on a trapped Bose-Einstein condensate. Second-order…

Other Condensed Matter · Physics 2009-11-11 Rajiv Bhat , L. D. Carr , M. J. Holland

A quantum model is considered for $N$ bosons populating two orthogonal single-particle modes with tunable energy separation in the presence of flavour-changing contact interaction. The quantum ground state is well approximated as a coherent…

Quantum Gases · Physics 2022-09-01 Andreas Hemmerich

We introduce a half-filled Hamiltonian of spin-half lattice fermions that can be studied with the efficient meron-cluster algorithm in any dimension. As with the usual bipartite half-filled Hubbard models, the na\"ive $U(2)$ symmetry is…

High Energy Physics - Lattice · Physics 2021-10-08 Hanqing Liu , Shailesh Chandrasekharan , Ribhu K. Kaul

We calculate the energy and the condensate fraction of a system of trapped bosons interacting via a short-range two-body potential with positive scattering length. The potential is attractive and has a two-body bound state. When the…

Quantum Physics · Physics 2009-07-17 M. Thøgersen , D. V. Fedorov , A. S. Jensen

We present numerically exact non-equilibrium dynamics of a one-dimensional Bose gas in quasi-periodic lattice that plays an intermediate role between the long-ranged order and truly disordered systems exhibiting unusual correlated phases.…

Quantum Gases · Physics 2025-09-25 Attis V. M. Marino , M. A. Caracanhas , V. S. Bagnato , B. Chakrabarti

We study an effective Hamiltonian generating time evolution of states on intermediate time scales in the strong-coupling limit of the spin-1/2 XXZ model. To leading order, it describes an integrable model with local interactions. We solve…

Statistical Mechanics · Physics 2021-05-05 Lenart Zadnik , Maurizio Fagotti

The variational cluster approximation is used to study the ground-state properties and single-particle spectra of the three-component fermionic Hubbard model defined on the two-dimensional square lattice at half filling. First, we show that…

Strongly Correlated Electrons · Physics 2016-06-16 Takumi Hasunuma , Tatsuya Kaneko , Shohei Miyakoshi , Yukinori Ohta

A Bose-Einstein condensate of atoms, trapped in an axially symmetric harmonic potential, is considered. By averaging the spatial density along the symmetry direction over a length that preserves the aspect ratio, the system may be mapped on…

Condensed Matter · Physics 2007-05-23 R. K. Bhaduri , M. V. N. Murthy

We describe a Higgs mechanism for the partially massless graviton. In order to do so, we first construct a covariant fracton-like effective field theory on de Sitter space that linearly realizes a dipolar shift symmetry. The global symmetry…

High Energy Physics - Theory · Physics 2025-07-30 Kurt Hinterbichler , Austin Joyce

We present a toy model with a Hamiltonian $H^{(2)}_T$ on a folded one-dimensional spin chain. The non-trivial ground states of $H^{(2)}_T$ are separated by a gap from the excited states. By analyzing the symmetries in the model, we find…

Strongly Correlated Electrons · Physics 2015-03-10 Pejman Jouzdani

Fractonic constraints can lead to exotic properties of quantum many-body systems. Here, we investigate the dynamics of fracton excitations on top of the ground states of a one-dimensional, dipole-conserving Bose-Hubbard model. We show that…

Quantum Gases · Physics 2024-04-04 Julian Boesl , Philip Zechmann , Johannes Feldmeier , Michael Knap

A non-perturbative algebraic theory of lattice Boltzmann method is developed based on a symmetry of a product. It involves three steps: (i) Derivation of admissible lattices in one spatial dimension through a matching condition which…

Statistical Mechanics · Physics 2015-05-14 Ilya Karlin , Shyam Chikatamarla , Pietro Asinari

Orbital degree of freedom plays an important role for understanding quantum many-body phenomena. In this work, we study an experimentally related setup with ultracold bosons loaded into hybridized bands of two-dimensional hexagonal optical…

Quantum Gases · Physics 2023-05-15 Pengfei Zhang , Hui Tan , Jianmin Yuan , Yongqiang Li

We follow up on a recent suggestion by C. Orzel et. al., Science, 291, 2386 (2001), whereby bosons in an optical lattice would be subjected to a sudden parameter change from the Mott to the superfluid phase. We analyze the Bose Hubbard…

Soft Condensed Matter · Physics 2009-11-07 Ehud Altman , Assa Auerbach

We construct commuting transfer matrices for models describing the interaction between a single quantum spin and a single bosonic mode using the quantum inverse scattering framework. The transfer matrices are obtained from certain…

Other Condensed Matter · Physics 2008-11-26 L. Amico , H. Frahm , A. Osterloh , G. A. P. Ribeiro

We investigate the effect that spatially modulated continuous conserved quantities can have on quantum ground states. We do so by introducing a family of one-dimensional local quantum rotor and bosonic models which conserve finite Fourier…

Quantum Gases · Physics 2024-01-12 Pablo Sala , Yizhi You , Johannes Hauschild , Olexei Motrunich

Using an unbiased quantum Monte Carlo method, we obtain convincing evidence of the existence of a checkerboard supersolid at a {\it commensurate} filling factor 1/2 (commensurate supersolid) in the soft-core Bose-Hubbard model with…

Quantum Gases · Physics 2012-09-14 Takahiro Ohgoe , Takafumi Suzuki , Naoki Kawashima
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