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Investigating out-of-equilibrium dynamics with two-dimensional (2D) systems is of widespread theoretical interest, as these systems are strongly influenced by fluctuations and there exists a superfluid phase transition at a finite…

This article surveys a number of theoretical problems and open questions in the field of two-dimensional dilute Bose gases with weak repulsive interactions. In contrast to three dimensions, in two dimensions the formation of long-range…

Other Condensed Matter · Physics 2009-11-11 Anna Posazhennikova

In this paper, we extend our previous discussion of the Bose metal to the field tuned case. We point out that the recent observation of the metallic state as an intermediate phase between the superconductor and the insulator in the field…

Condensed Matter · Physics 2009-11-07 D. Das , S. Doniach

The stability of Bose gases near resonance has been a puzzling problem in recent years. In this Letter, we demonstrate that in addition to generating thermal pressure, thermal atoms enhance the repulsiveness of the scale-dependent…

Quantum Gases · Physics 2015-07-16 Shao-Jian Jiang , Fei Zhou

The crossing of temperature dependences of the sound velocity in normal and superconducting state of metallic glasses points out unambiguously the renormalization of the intensity of sound interaction with two-level systems (TLS), caused by…

Condensed Matter · Physics 2014-12-03 E. V. Bezuglyi , A. L. Gaiduk , V. D. Fil , W. L. Johnson , G. Bruls , B. Luethi , B. Wolf , S. Zherlitsyn

We present a new, simple renormalization group method of investigating groundstate properties of interacting bosonic systems. Our method reduces the number of particles in a system, which makes numerical calculations possible for large…

Statistical Mechanics · Physics 2013-05-29 Roman Werpachowski , Jerzy Kijowski

The well-known results concerning a dilute Bose gas with the short-range repulsive interaction should be reconsidered due to a thermodynamic inconsistency of the method being basic to much of the present understanding of this subject and…

Statistical Mechanics · Physics 2007-05-23 A. Yu. Cherny , A. A. Shanenko

We examined the characteristics of a metal-insulator transition on a two-dimensional non-bipartite lattice when both disorders and electron interactions are present. Using a real-space renormalization group method and finite-size scaling…

Strongly Correlated Electrons · Physics 2007-05-23 Jiaxiang Wang , Sabre Kais

We propose a new method to describe the interacting bose gas at zero temperature. We use the decomposition of the logarithm of the wave function into the irreducible $n$-point functions. We argue that in the low density limit this expansion…

Condensed Matter · Physics 2015-06-25 A. A. OVCHINNIKOV

The introduction of disorder in Bose-Hubbard model gives rise to new glassy quantum phases, namely the Bose-glass (BG) and disordered solid (DS) phases. In this work, we present the rich phase diagram of interacting bosons in disordered…

Quantum Gases · Physics 2025-05-08 Kohenjit Pebam , Laxmi Angom , Bhumika Thoudam , Momin Hrangbung , Deepak Gaur , Dilip Angom

We employ ultracold atoms with controllable disorder and interaction to study the paradigmatic problem of disordered bosons in the full disorder-interaction plane. Combining measurements of coherence, transport and excitation spectra, we…

We present a unified, global perspective on the magnetic properties of strongly disordered electronic systems, with special emphasis on the case where the ground state is metallic. We review the arguments for the instability of the…

Strongly Correlated Electrons · Physics 2009-10-30 Subir Sachdev

It is well known that the dielectric constant of two-dimensional (2D) electron system goes negative at low electron densities. A consequence of the negative dielectric constant could be the formation of the droplet state. The droplet state…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Junren Shi , Song He , X. C. Xie

I describe in these notes the physical properties of one dimensional interacting quantum particles. In one dimension the combined effects of interactions and quantum fluctuations lead to a radically new physics quite different from the one…

Statistical Mechanics · Physics 2009-11-11 T. Giamarchi

We study the interplay between few- and many-body physics in Bose gases near resonance. The effect of condensates on the two-body running coupling constant is investigated via imposing a boundary condition on a self-consistent…

Quantum Gases · Physics 2013-04-12 Fei Zhou , Mohammad S. Mashayekhi

We consider homogeneous Bose gas in a large cubic box with periodic boundary conditions interacting with a small potential with a positive Fourier transform. We compute the imaginary part of the phononic excitation spectrum in the lowest…

Mathematical Physics · Physics 2026-02-27 Jan Dereziński , Lorenzo Pettinari

Dielectric measurements at very low temperature indicate that in a glass with the eutectic composition BaO-Al$_2$O$_3$-SiO$_2$ a phase transition occurs at 5.84 mK. Below that temperature small magnetic fields of the order of 10 $\mu$T…

Disordered Systems and Neural Networks · Physics 2009-10-30 P. Strehlow , C. Enss , S. Hunklinger

We theoretically investigate a weakly-interacting degenerate Bose gas coupled to an empty Markovian bath. We show that in the universal phononic limit the system evolves towards an asymptotic state where an emergent temperature is set by…

Quantum Gases · Physics 2016-03-22 Pjotrs Grišins , Bernhard Rauer , Tim Langen , Jörg Schmiedmayer , Igor E. Mazets

We investigate two-dimensional Bose system with the long range interactions in the presence of disorder. Formation of the bound states at strong impurity sites gives rise to an additional depletion of the superfluid density. We demonstrate…

Superconductivity · Physics 2009-11-10 A. V. Lopatin , V. M. Vinokur

We investigate the thermodynamic properties of a dilute Bose gas in a correlated random potential using exact path integral Monte Carlo methods. The study is carried out in continuous space and disorder is produced in the simulations by a…

Quantum Gases · Physics 2015-02-26 S. Pilati , S. Giorgini , M. Modugno , N. Prokof'ev