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We investigate the superfluid-insulator quantum phase transition of one-dimensional bosons with off-diagonal disorder by means of large-scale Monte-Carlo simulations. For weak disorder, we find the transition to be in the same universality…

Disordered Systems and Neural Networks · Physics 2013-01-03 Fawaz Hrahsheh , Thomas Vojta

In this paper, we present a generalized Green's function method which can be used to investigate the quantum phase transitions analytically in a systematic way for ultracold Bose systems in bipartite optical lattices. As an example, to the…

Statistical Mechanics · Physics 2014-02-18 Zhi Lin , Jun Zhang , Yan Chen , Ying Jiang

We investigate the quantum phases of bosons in a two-chain-coupled ladder. This bosonic ladder is generally in a biased configuration, meaning that the two chains of the ladder can have dramatically different on-site interactions and…

Quantum Gases · Physics 2025-03-04 Jingtao Fan , Xiaofan Zhou , Suotang Jia

We study an ultracold Bose gas in the presence of 1D disorder for repulsive inter-atomic interactions varying from zero to the Thomas-Fermi regime. We show that for weak interactions the Bose gas populates a finite number of localized…

Disorder can be applied to transform conducting to insulating states by localizing individual quantum particles. The interplay between disorder and interactions in many-particle systems leads to a richer tapestry of quantum phase…

Quantum Gases · Physics 2025-06-23 Phil Russ , Mi Yan , Nicholas Kowalski , Laura Wadleigh , Vito W. Scarola , Brian DeMarco

An iterative scheme based on the kernel polynomial method is devised for the efficient computation of the one-body density matrix of weakly interacting Bose gases within Bogoliubov theory. This scheme is used to analyze the coherence…

Quantum Gases · Physics 2013-05-17 Joseph Saliba , Pierre Lugan , Vincenzo Savona

The disorder-induced quantum phase transition between superfluid and non-superfluid states of bosonic particles in one dimension is generally expected to be of the Berezinskii-Kosterlitz-Thouless (BKT) type. Here, we show that hard-core…

The energy spectrum of a system of Bose atoms in the superfluid phase in an optical lattice of the graphene type has been studied. The dispersion laws for the energy bands and the single particle spectral densities are calculated in the…

Quantum Gases · Physics 2014-11-21 I. V. Stasyuk , O. V. Velychko , I. R. Dulepa

The study of geometrically frustrated many-body quantum systems is of central importance to uncover novel quantum mechanical effects. We design a scheme where ultracold bosons trapped in a one-dimensional state-dependent optical lattice are…

We discuss a quantum transition from a superfluid to a Mott glass phases in disordered Bose-systems by the example of an isotropic spin-$\frac12$ antiferromagnet with spatial dimension $d\ge2$ and with disorder in tunable exchange…

Strongly Correlated Electrons · Physics 2017-10-24 A. V. Syromyatnikov

We determine the critical temperature of a 3-d homogeneous system of hard-sphere Bosons by path-integral Monte Carlo simulations and finite-size scaling. At low densities, we find that the critical temperature is increased by the repulsive…

Statistical Mechanics · Physics 2009-10-30 Peter Grüter , David Ceperley , Franck Laloë

Using a strong disorder real-space renormalization group (RG), we study the phase diagram of a fully disordered chain of interacting bosons. Since this approach does not suffer from run-away flows, it allows a direct study of the insulating…

Disordered Systems and Neural Networks · Physics 2009-11-13 Ehud Altman , Yariv Kafri , Anatoli Polkovnikov , Gil Refael

I give a unified perspective on the properties of a variety of quantum liquids using the theory of quantum phase transitions. A central role is played by a zero density quantum critical point which is argued to control the properties of the…

Quantum Gases · Physics 2015-05-28 Subir Sachdev

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 determine the finite-temperature phase diagram of a one-dimensional disordered Bose gas using bosonization and the nonperturbative functional renormalization group (RG). We discuss two different scenarios, based on distinct truncations…

Quantum Gases · Physics 2025-12-17 Vincent Grison , Nicolas Dupuis

We determine the phase diagram of a mixture of ultracold bosons and polarized fermions placed in an optical lattice using mean field theory. In the limit of strong atom-atom interactions, there exist quantum phases that involve pairing of…

Other Condensed Matter · Physics 2009-11-10 H. Fehrmann , M. A. Baranov , B. Damski , M. Lewenstein , L. Santos

In recent years, the systems comprising of bosonic atoms confined to optical lattices at ultra-cold temperatures have demonstrated tremendous potential to unveil novel quantum mechanical effects appearing in lattice boson models with…

Quantum Gases · Physics 2025-07-31 Titas Chanda , Luca Barbiero , Maciej Lewenstein , Manfred J. Mark , Jakub Zakrzewski

Recent experimental and numerical studies of the critical-temperature exponent $\phi$ for the superfluid-Bose glass universality in three-dimensional systems report strong violations of the key quantum critical relation, $\phi=\nu z$, where…

Strongly Correlated Electrons · Physics 2014-06-05 Zhiyuan Yao , Karine P. C. da Costa , Mikhail Kiselev , Nikolay Prokof'ev

We study the quantum (zero-temperature) critical behaviors of confined particle systems described by the one-dimensional (1D) Bose-Hubbard model in the presence of a confining potential, at the Mott insulator to superfluid transitions, and…

Statistical Mechanics · Physics 2013-05-29 Massimo Campostrini , Ettore Vicari

The recent experimental condensation of ultracold atoms in a triangular optical lattice with negative effective tunneling energies paves the way to study frustrated systems in a controlled environment. Here, we explore the critical behavior…

Quantum Gases · Physics 2016-12-20 Peter Janzen , Wen-Min Huang , Ludwig Mathey