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Quantum many-body systems may defy thermalization even without disorder. Intriguingly, non-ergodicity may be caused by a fragmentation of the many-body Hilbert-space into dynamically disconnected subspaces. The tilted one-dimensional…

Classical U(1) fracton spin liquids feature an extensive ground state degeneracy and follow an effective description in terms of a tensor Gauss' law where charges, so-called fractons, have restricted mobility. Here we introduce a simple…

Strongly Correlated Electrons · Physics 2026-04-14 Nils Niggemann , Meghadeepa Adhikary , Yannik Schaden-Thillmann , Johannes Reuther

We calculate the half-chain entanglement entropy of the ground state in the one-dimensional spinless fermion model. Considering a tiny corner of the Hilbert space represented by matrix product states, we efficiently find the ground state by…

Strongly Correlated Electrons · Physics 2017-02-01 Myung-Hoon Chung

The Schwinger boson theory provides a natural path for treating quantum spin systems with large quantum fluctuations. In contrast to semi-classical treatments, this theory allows us to describe a continuous transition between magnetically…

Strongly Correlated Electrons · Physics 2022-06-22 Shang-Shun Zhang , E. A. Ghioldi , L. O. Manuel , A. E. Trumper , Cristian D. Batista

We establish the phase diagram of the disordered three-dimensional Bose-Hubbard model at unity filling, which has been controversial for many years. The theorem of inclusions, proven in Ref. [1], states that the Bose glass phase always…

Disordered Systems and Neural Networks · Physics 2010-09-10 V. Gurarie , L. Pollet , N. V. Prokof'ev , B. V. Svistunov , M. Troyer

Anfuso and Rosch [Phys. Rev. B 75, 144420 (2007)] showed that the "topological" Haldane phase in a fermionic spin-1/2 ladder can be continuously deformed into a "trivial" phase without explicitly breaking symmetries when local charge…

Strongly Correlated Electrons · Physics 2015-04-22 Sanjay Moudgalya , Frank Pollmann

We present a canonical mapping transforming physical boson operators into quadratic products of cluster composite bosons that preserves matrix elements of operators when a physical constraint is enforced. We map the 2D lattice Bose-Hubbard…

Quantum Gases · Physics 2015-06-15 Daniel Huerga , Jorge Dukelsky , Gustavo E. Scuseria

We numerically examine slow and hierarchical relaxation dynamics of interacting bosons described by a tilted two-band Bose-Hubbard model. The system is found to exhibit signatures of quantum chaos within the spectrum and the validity of the…

Quantum Gases · Physics 2018-04-19 Jayson G. Cosme

We propose a bosonic quantum breakdown Hubbard model, which generalizes the Bose-Hubbard model by adding an asymmetric breakdown interaction turning one boson into two between adjacent sites. When the normal hopping is zero, this model has…

Strongly Correlated Electrons · Physics 2025-09-18 Yu-Min Hu , Biao Lian

We consider effects of artificial magnetic fields on the ground state of the two-dimensional Bose-Hubbard model. Using an asymmetric Bose-Hubbard model, we demonstrate that the frustrating hopping energy localizes bosons and enlarges…

Quantum Gases · Physics 2025-07-17 Mohammadamin Jaberi , Fatemeh Heydarinasab

We study a model of hard-core bosons with frustrated nearest-neighbor hopping ($t$) and repulsion ($V$) on the triangular lattice. We argue for a supersolid ground state in the large repulsion ($V\gg|t|$) limit where a dimer representation…

Statistical Mechanics · Physics 2009-01-07 Fa Wang , Frank Pollmann , Ashvin Vishwanath

We give a functional integral representation of the semigroup generated by the spin-boson Hamiltonian by making use of a Poisson point process and a Euclidean field. We present a method of constructing Gibbs path measures indexed by the…

Mathematical Physics · Physics 2014-04-08 Masao Hirokawa , Fumio Hiroshima , Jozsef Lorinczi

The boundary of a fractionalized topological phase can be gapped by condensing a proper set of bosonic quasiparticles. Interestingly, in the presence of a global symmetry, such a boundary can have different symmetry transformation…

Strongly Correlated Electrons · Physics 2016-07-01 Fiona Burnell , Xie Chen , Alexei Kitaev , Max Metlitski , Ashvin Vishwanath

Lattice gases in the strongly correlated regime have been proven to simulate quantum magnetic models under certain conditions: the mapping of the double-well system onto the Lipkin-Meshkov-Glick spin model is a paradigmatic case. A suitable…

Quantum Gases · Physics 2016-12-28 A. Gallemí , G. Queraltó , M. Guilleumas , R. Mayol , A. Sanpera

We propose an exactly solvable lattice Hamiltonian model of topological phases in $3+1$ dimensions, based on a generic finite group $G$ and a $4$-cocycle $\omega$ over $G$. We show that our model has topologically protected degenerate…

Strongly Correlated Electrons · Physics 2015-07-02 Yidun Wan , Juven Wang , Huan He

We review recent exact results for the free expansion of impenetrable bosons on one-dimensional lattices, after switching off a confining potential. When the system is initially in a superfluid state, far from the regime in which the…

Statistical Mechanics · Physics 2007-05-23 Marcos Rigol , Alejandro Muramatsu

We study the phase diagram of the zero-temperature, one-dimensional Bose-Fermi-Hubbard model for fixed fermion density in the limit of small fermionic hopping. This model can be regarded as an instance of a disordered Bose-Hubbard model…

Other Condensed Matter · Physics 2009-11-13 A. Mering , M. Fleischhauer

We consider a quantum fully packed loop model on the square lattice with a frustration-free projector Hamiltonian and ring-exchange interactions acting on plaquettes. A boundary Hamiltonian is added to favour domain-wall boundary conditions…

Statistical Mechanics · Physics 2023-08-15 Zhao Zhang , Henrik Schou Røising

Aiming at the study of critical phenomena in the presence of boundaries with a non-trivial shape we discuss how lattices with an adaptive lattice spacing can be implemented. Since the parameters of the Hamiltonian transform non-trivially…

Statistical Mechanics · Physics 2015-03-25 Martin Hasenbusch

We study the equilibrium and non-equilibrium properties of strongly interacting bosons on a lattice in presence of a random bounded disorder potential. Using a Gutzwiller projected variational technique, we study the equilibrium phase…

Quantum Gases · Physics 2015-06-11 Chien-Hung Lin , Rajdeep Sensarma , K. Sengupta , S. Das Sarma