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The vortex system in a high-T_c superconductor has been studied numerically using the mapping to 2D bosons and the path-integral Monte Carlo method. We find a single first-order transition from an Abrikosov lattice to an entangled vortex…

Superconductivity · Physics 2009-10-28 Henrik Nordborg , Gianni Blatter

We study the ground state and the thermal phase diagram of a two-species Bose-Hubbard model, with $U(1)\times \mathbb{Z}_2$ symmetry, describing atoms and molecules on a 2D optical lattice interacting via a Feshbach resonance. Using quantum…

Quantum Gases · Physics 2017-01-09 Laurent de Forges de Parny , Valéry G. Rousseau

We show that quasi-one dimensional Bose-Einstein condensate under suitable conditions can exhibit a Berezinskii-Kosterlitz-Thouless phase transition. The role played by quantized vortices in two dimensional case, is played in this case by…

Quantum Gases · Physics 2011-07-28 Vivek M. Vyas , Sandeep Gautam , Prasanta K. Panigrahi

For most kinds of already known Bose-Einstein condensates experimental evidence for the existence of a macroscopic coherent quantum state has been provided, e.g., from the observation of interference phenomena, the formation vortices, the…

Superconductivity · Physics 2012-12-18 A. Schilling , H. Grundmann , R. Dell'Amore

Motivated by recent studies on superconducting (SC) diode nonreciprocity, we uncover a generic smooth SC-phase decoherence mechanism in low-dimensional Josephson structures. Contrary to the conventional single-energy-scale paradigm where…

Superconductivity · Physics 2026-03-10 F. Yang , C. Y. Dong , Joshua A. Robinson , L. Q. Chen

We investigate the quantum phase transition in a one-dimensional chain of ultra-small superconducting grains, considering both the self- and junction capacitances. At zero temperature, the system is transformed into a two-dimensional system…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Mahn-Soo Choi , J. Yi , M. Y. Choi , J. Choi , S. -I. Lee

We revisit the problem of the reduction of the three-dimensional (3D) dynamics of Bose-Einstein condensates, under the action of strong confinement in one direction ($z$), to a 2D mean-field equation. We address this problem for the…

Quantum Gases · Physics 2020-10-14 Mateus C. P. dos Santos , Boris A. Malomed , Wesley B. Cardoso

An XY model with random phase shifts as a model for a superconducting glass is studied in two and three dimensions by a zero temperature domain wall renormalization group which allows one to follow the flows of both the coupling constant…

Superconductivity · Physics 2009-10-30 J. M. Kosterlitz , M. V. Simkin

Disordered superconductors in low dimensions provide an exemplary manifestation for the role of quantum fluctuations in a many-body system. Specifically in Josephson arrays with comparable Josephson and charging energies ($E_J\sim E_C$),…

Superconductivity · Physics 2025-12-24 Eyal Walach , Efrat Shimshoni

Any state of matter is classified according to its order, and the kind of order a physical system can posses is profoundly affected by its dimensionality. Conventional long-range order, like in a ferromagnet or a crystal, is common in…

Other Condensed Matter · Physics 2016-08-16 Zoran Hadzibabic , Peter Krüger , Marc Cheneau , Baptiste Battelier , Jean B. Dalibard

The presence of stable topological defects in a two-dimensional (\textit{d} = 2) liquid crystal model allowing molecular reorientations in three dimensions (\textit{n} = 3) was largely believed to induce defect-mediated…

Soft Condensed Matter · Physics 2018-11-28 B. Kamala Latha , V. S. S. Sastry

The paper presents a survey of some dynamical transitions in nonequilibrium trapped Bose-condensed systems subject to the action of alternating fields. Nonequilibrium states of trapped systems can be realized in two ways, resonant and…

Quantum Gases · Physics 2025-09-16 V. I. Yukalov , E. P. Yukalova

The superfluid phase transition of the general vortex gas, in which the circulations may be any non-zero integer, is studied. When the net circulation of the system is not zero the absence of a superfluid phase is shown. When the net…

Condensed Matter · Physics 2015-06-25 Achilles D. Speliotopoulos , Harry L. Morrison

We theoretically investigate the ground states and the spectrum of elementary excitations across the superfluid to droplet crystallization transition of an oblate dipolar Bose-Einstein condensate. We systematically identify regimes where…

We present numerical evidence from Monte Carlo simulations that the superfluid-insulator quantum phase transition of interacting bosons subject to strong disorder in one dimension is controlled by the strong-randomness critical point. At…

Disordered Systems and Neural Networks · Physics 2013-12-04 Susanne Pielawa , Ehud Altman

The properties of a macroscopic assembly of weakly-repulsive bosons at zero temperature are well described by Gross-Pitaevskii mean-field theory. According to this formalism the system exhibits a quantum transition from superfluid to…

Quantum Gases · Physics 2018-09-26 Santi Prestipino , Alessandro Sergi , Ezio Bruno

At strong magnetic fields double-layer two-dimensional-electron-gas systems can form an unusual broken symmetry state with spontaneous inter-layer phase coherence. In this paper we explore the rich variety of quantum and finite-temperature…

Condensed Matter · Physics 2009-10-22 K. Moon , H. Mori , Kun Yang , S. M. Girvin , A. H. MacDonald , L. Zheng , D. Yoshioka , Shou-Cheng Zhang

We study a two-species bosonic Hubbard model on a two-dimensional square lattice by means of quantum Monte Carlo simulations and focus on finite temperature effects. We show in two different cases, ferro- and antiferromagnetic spin-spin…

Quantum Gases · Physics 2012-05-31 L. de Forges de Parny , F. Hébert , V. G. Rousseau , G. G. Batrouni

We assess experimentally and theoretically the character of the superfluid-supersolid quantum phase transition recently discovered in trapped dipolar quantum gases. We find that one-row supersolids can have already two types of phase…

Quantum Gases · Physics 2024-06-11 G. Biagioni , N. Antolini , A. Alaña , M. Modugno , A. Fioretti , C. Gabbanini , L. Tanzi , G. Modugno

Considerable progress in experimental studies of atomic gases in a toroidal geometry has opened up novel prospects for the investigation of fundamental properties of superfluid states and creation of new configurations for atomtronic…

Quantum Gases · Physics 2020-01-08 Artem Oliinyk , Alexander Yakimenko , Boris Malomed