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We present a renormalization group construction of a weakly interacting Bose gas at zero temperature in the two-dimensional continuum, both in the quantum critical regime and in the presence of a condensate fraction. The construction is…

Quantum Gases · Physics 2014-12-17 Serena Cenatiempo , Alessandro Giuliani

We study a one-dimensional disordered Bose fluid using bosonization, the replica method and a nonperturbative functional renormalization-group approach. The Bose-glass phase is described by a fully attractive strong-disorder fixed point…

Quantum Gases · Physics 2020-01-17 Nicolas Dupuis

Quenched disorder - in the sense of the Harris criterion - is generally a relevant perturbation at an absorbing state phase transition point. Here using a strong disorder renormalization group framework and effective numerical methods we…

Statistical Mechanics · Physics 2009-11-10 Jef Hooyberghs , Ferenc Igloi , Carlo Vanderzande

Using the exact Bose-Fermi mapping, we study universal properties of ground-state density distributions and finite-temperature quantum critical behavior of one-dimensional hard-core bosons in trapped incommensurate optical lattices. Through…

Quantum Gases · Physics 2011-05-25 Xiaoming Cai , Shu Chen , Yupeng Wang

We study a one-dimensional disordered Bose fluid using bosonization, the replica method and a nonperturbative functional renormalization-group approach. We find that the Bose-glass phase is described by a fully attractive strong-disorder…

Quantum Gases · Physics 2020-05-14 Nicolas Dupuis , Romain Daviet

The superfluid transition of a three-dimensional gas of hard-sphere bosons in a disordered medium is studied using quantum Monte Carlo methods. Simulations are performed in continuous space both in the canonical and in the grand-canonical…

Other Condensed Matter · Physics 2015-05-13 S. Pilati , S. Giorgini , N. Prokof'ev

We investigate the combined influence of quenched randomness and dissipation on a quantum critical point with O(N) order-parameter symmetry. Utilizing a strong-disorder renormalization group, we determine the critical behavior in one space…

Strongly Correlated Electrons · Physics 2011-02-18 Thomas Vojta , J. A. Hoyos , Priyanka Mohan , Rajesh Narayanan

Very diluted Bose gas placed into a disordered environment falls into a fragmented localized state. At some critical density the repulsion between particles overcomes the disorder. The gas transits into a coherent superfluid state. In this…

Other Condensed Matter · Physics 2009-06-18 G. M. Falco , T. Nattermann , V. L. Pokrovsky

We present a field theoretic renormalization group study for the critical behaviour of a uniformly driven diffusive system with quenched disorder, which is modelled by different kinds of potential barriers between sites. Due to their…

Statistical Mechanics · Physics 2015-06-25 V. Becker , H. K. Janssen

Critical dynamics of an ultracold Bose gas far from equilibrium is studied in two spatial dimensions. Superfluid turbulence is created by quenching the equilibrium state close to zero temperature. Instead of immediately re-thermalizing, the…

Quantum Gases · Physics 2012-08-07 Jan Schole , Boris Nowak , Thomas Gasenzer

We show that the Bose-glass phase of a one-dimensional disordered Bose fluid exhibits a chaotic behavior, i.e., an extreme sensitivity to external parameters. Using bosonization, the replica formalism and the nonperturbative functional…

Quantum Gases · Physics 2021-06-01 Romain Daviet , Nicolas Dupuis

A microscopic statistical model of a quantum solid is developed, where inside a crystalline lattice there can exist regions of disorder, such as dislocation networks or grain boundaries. The cores of these regions of disorder are allowed…

Statistical Mechanics · Physics 2023-01-04 V. I. Yukalov , E. P. Yukalova

This brief review introduces the method and application of real-space renormalization group to strongly disordered quantum systems. The focus is on recent applications of the strong disorder renormalization group to the physics of…

Disordered Systems and Neural Networks · Physics 2014-02-26 Gil Refael , Ehud Altman

The quantum ferromagnetic transition at zero temperature in disordered itinerant electron systems is considered. Nonmagnetic quenched disorder leads to diffusive electron dynamics that induces an effective long-range interaction between the…

Statistical Mechanics · Physics 2009-10-28 T. R. Kirkpatrick , D. Belitz

We investigate the superfluid-insulator transition in the disordered two-dimensional Bose-Hubbard model through quantum Monte Carlo simulations. The Bose-Hubbard model is studied in the presence of site disorder and the quantum critical…

Disordered Systems and Neural Networks · Physics 2011-09-14 Fei Lin , Erik S. Sørensen , D. M. Ceperley

We investigate the effects of quenched randomness on topological quantum phase transitions in strongly interacting two-dimensional systems. We focus first on transitions driven by the condensation of a subset of fractionalized…

Strongly Correlated Electrons · Physics 2021-03-03 Byungmin Kang , S. A. Parameswaran , Andrew C. Potter , Romain Vasseur , Snir Gazit

The quantum critical behavior of the Bose-Hubbard model for a description of two coupled Bose-Einstein condensates is studied within the framework of an algebraic theory. Energy levels, wavefunction overlaps with those of the Rabi and Fock…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Feng Pan , J. P. Draayer

The effect of quenched disorder on non-equilibrium phase transitions in the directed percolation universality class is studied by a strong disorder renormalization group approach and by density matrix renormalization group calculations. We…

Statistical Mechanics · Physics 2009-11-07 Jef Hooyberghs , Ferenc Igloi , Carlo Vanderzande

Using dynamic renormalization group we study the transport in driven diffusive systems in the presence of quenched random drift velocity with long-range correlations along the transport direction. In dimensions $d\mathopen< 4$ we find fixed…

Statistical Mechanics · Physics 2009-10-31 Bosiljka Tadic

We investigate the properties of the superfluid phase in the three-dimensional disordered Bose-Hubbard model using Quantum Monte-Carlo simulations. The phase diagram is generated using Gaussian disorder on the on-site potential. Comparisons…

Quantum Gases · Physics 2019-01-31 Bruno R. de Abreu , Ushnish Ray , Silvio A. Vitiello , David M. Ceperley
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