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We investigate Bose-Einstein condensation for ultracold bosonic atoms in two-dimensional systems. The functional renormalization group for the average action allows us to follow the effective interactions from molecular scales…

Superconductivity · Physics 2009-01-28 S. Floerchinger , C. Wetterich

We have performed Path Integral Monte Carlo (PIMC) calculations to determine the effect of quenched disorder on the superfluid density of a dilute 3D hard sphere gas. The disorder was introduced by locating set of hard cylinders randomly…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. C. Gordillo , D. M. Ceperley

There has been considerable interest in the disordered Bose Hubbard model (BHM) in recent years, particularly in the context of thermalization and many-body localization. We develop a two-particle irreducible (2PI) strong-coupling approach…

Quantum Gases · Physics 2024-01-10 Ali Mokhtari-Jazi , Matthew R. C. Fitzpatrick , Malcolm P. Kennett

We propose an exactly solvable model to reveal the physics of the interplay between interaction and disorder in bosonic systems. Considering interacting bosons in a double-well potential, in which disorder is mimicked by taking the energy…

Quantum Gases · Physics 2015-05-18 Qi Zhou , S. Das Sarma

Disorder or quasi-disorder is known to favor the localization in many-body Bose systems. Here in contrast, we demonstrate an anomalous delocalization effect induced by incommensurability in quasiperiodic lattices. Loading ultracold atoms in…

We investigate the dynamics of a Bose-Einstein condensate in the presence of a random potential created by optical speckles. We first consider the effect of a weak disorder on the dipole and quadrupole collective oscillations, finding…

Disordered Systems and Neural Networks · Physics 2009-11-11 Michele Modugno

The critical effect of disorder on the two-dimensional (2D) surface superconductor Si(111)-($\sqrt{7}\times\sqrt{3}$)-In is clarified by comparing two regions with different degrees of disorder. Low-temperature scanning tunneling microscopy…

Mesoscale and Nanoscale Physics · Physics 2015-07-29 Shunsuke Yoshizawa , Howon Kim , Yukio Hasegawa , Takashi Uchihashi

A powerful approach to analysing quantum systems with dimensionality $d>1$ involves adding a weak coupling to an array of one-dimensional (1D) chains. The resultant quasi-one-dimensional (q1D) systems can exhibit long-range order at low…

Superconductivity · Physics 2016-07-27 A. P. Petrović , D. Ansermet , D. Chernyshov , M. Hoesch , D. Salloum , P. Gougeon , M. Potel , L. Boeri , C. Panagopoulos

We study the two-dimensional disordered topological superconductor with Hubbard interactions. When the magnitude of the pairing potential is tuned to special values, this interacting model is exactly solvable even when disorders are imposed…

Disordered Systems and Neural Networks · Physics 2024-11-22 Yiting Deng , Yan He

We introduce a two-dimensional short-range correlated disorder that is the natural generalization of the well-known one-dimensional dual random dimer model [Phys. Rev. Lett 65, 88 (1990)]. We demonstrate that, as in one dimension, this…

Quantum Gases · Physics 2015-11-25 Pablo Capuzzi , Mario Gattobigio , Patrizia Vignolo

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 the interplay of superfluidity and glassy ordering of hard core bosons with random, frustrating interactions. This is motivated by bosonic systems such as amorphous supersolid, disordered superconductors with preformed pairs, and…

Disordered Systems and Neural Networks · Physics 2013-05-30 Xiaoquan Yu , Markus Mueller

We investigate the effect of white-noise disorder on the local phase stiffness and thermodynamic properties of a two-dimensional $s$-wave superconductor. Starting from a local attractive model and using path-integral formalism, we derive an…

Superconductivity · Physics 2025-10-13 Sudipta Biswas , A. Taraphder , Sudhansu S. Mandal

In this paper, we study non-interacting bosons in a disordered one-dimensional optical lattice in a harmonic potential. We consider the case of deterministic disorder produced by an Aubry-Andr\'{e} potential. Using exact diagonalization, we…

Quantum Gases · Physics 2015-06-12 R. Ramakumar , A. N. Das

Disorder modifies the sound-wave excitation spectrum of Bose-Einstein condensates. We consider the classical hydrodynamic limit, where the disorder correlation length is much longer than the condensate healing length. By perturbation…

Quantum Gases · Physics 2009-12-13 Christopher Gaul , Nina Renner , Cord A. Mueller

We study the nature of the superfluid--insulator quantum phase transition in a one-dimensional system of lattice bosons with off-diagonal disorder in the limit of large integer filling factor. Monte Carlo simulations of two strongly…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Karén G. Balabanyan , Nikolay Prokof'ev , Boris Svistunov

In condensed matter physics, Kramers-Wannier duality implies that the state disordered by quantum fluctuations or temperature actually corresponds with an ordered state formed from the topological excitations of the 'original' ordered…

Strongly Correlated Electrons · Physics 2008-02-11 V. Cvetkovic , J. Zaanen

In disordered spin systems with antiferromagnetic Heisenberg exchange, transitions into and out of a magnetic-field-induced ordered phase pass through a unique regime. Using quantum Monte Carlo simulations to study the zero-temperature…

Strongly Correlated Electrons · Physics 2009-11-11 Omid Nohadani , Stefan Wessel , Stephan Haas

We analyze the complex interplay of the strong correlations and impurities in a high temperature superconductor and show that both the nature and degree of the inhomogeneities at zero temperature in the local order parameters change…

Superconductivity · Physics 2015-06-18 Debmalya Chakraborty , Amit Ghosal

We consider interacting Bose particles in an external potential. It is shown that a Bose-Einstein condensate is possible at finite temperatures that describes a supersolid in three dimensions (3D) for a wide range of potentials in the…

Quantum Gases · Physics 2021-04-16 Moorad Alexanian , Vanik E. Mkrtchian