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These lecture notes introduce quantum spin systems and several computational methods for studying their ground-state and finite-temperature properties. Symmetry-breaking and critical phenomena are first discussed in the simpler setting of…

Strongly Correlated Electrons · Physics 2015-03-17 Anders W. Sandvik

We investigate the formation of quantum droplets at finite temperature in attractive Bose mixtures subject to a strong transverse harmonic confinement. By means of exact path-integral Monte Carlo methods we determine the equilibrium density…

Quantum Gases · Physics 2024-08-20 Gabriele Spada , Sebastiano Pilati , Stefano Giorgini

We numerically study the superconductor-insulator phase transition in a model disordered 2D superconductor as a function of applied magnetic field. The calculation involves quantum Monte Carlo calculations of the (2+1)D XY model in the…

Superconductivity · Physics 2009-11-13 Kwangmoo Kim , David Stroud

The Bose condensation of 2D dipolar excitons in quantum wells is numerically studied by the diffusion Monte Carlo simulation method. The correlation, microscopic, thermodynamic, and spectral characteristics are calculated. It is shown that,…

Strongly Correlated Electrons · Physics 2009-11-13 Yu. E. Lozovik , I. L. Kurbakov , G. E. Astrakharchik , M. Willander

Quantum Monte Carlo (QMC) simulations constitute nowadays one of the most powerful methods to study strongly correlated quantum systems, provided that no "sign problem" arises. However, many systems of interest, including highly frustrated…

Strongly Correlated Electrons · Physics 2022-03-30 Andreas Honecker , Lukas Weber , Philippe Corboz , Frédéric Mila , Stefan Wessel

Zero-temperature or quantum phase transitions in itinerant electronic systems both with and without quenched disordered are discussed. Phase transitions considered include, the ferromagnetic transition, the antiferromagnetic transition, the…

Statistical Mechanics · Physics 2008-02-03 T. R. Kirkpatrick , D. Belitz

Quantum droplets are dilute self-bound configurations of bosons that result from the balance between a mean-field attraction and a repulsion induced by quantum fluctuations. Such droplets have been successfully realized in cold atomic gases…

Mesoscale and Nanoscale Physics · Physics 2026-03-18 Matteo Caldara , Olivier Bleu , Francesca Maria Marchetti , Jesper Levinsen , Meera M. Parish

Seeing macroscopic quantum states directly remains an elusive goal. Particles with boson symmetry can condense into such quantum fluids producing rich physical phenomena as well as proven potential for interferometric devices [1-10].…

Mesoscale and Nanoscale Physics · Physics 2011-12-01 G. Tosi , G. Christmann , N. G. Berloff , P. Tsotsis , T. Gao , Z. Hatzopoulos , P. G. Savvidis , J. J. Baumberg

The possibility that disorder may stabilize a superfluid phase of para-hydrogen in two dimensions is investigated theoretically by means of Quantum Monte Carlo simulations. We model disorder using a random distribution of scatterers, and…

Other Condensed Matter · Physics 2008-10-15 Joseph Turnbull , Massimo Boninsegni

We consider the several phenomena which are taking place in Quantum Dots (QD) and Quantum Rings (QR): The connection of the Quantum Chaos (QC) with the reflection symmetry of the QD, Disappearance of the QC in the tunnel coupled chaotic QD,…

Mesoscale and Nanoscale Physics · Physics 2012-06-08 I. Filikhin , S. G. Matinyan , B. Vlahovic

The order-disorder layering transitions, of the Blume-Capel model, are studied using the Monte Carlo (MC) simulations, in the presence of a variable crystal field. For a very low temperature, the results are in good agreement with the…

Soft Condensed Matter · Physics 2009-11-10 L. Bahmad , A. Benyoussef , H. Ez-Zahraouy

Low temperature properties of harmonically confined two-dimensional assemblies of dipolar bosons are systematically investigated by Monte Carlo simulations. Calculations carried out for different numbers of particles and strengths of the…

Statistical Mechanics · Physics 2013-05-29 Piyush Jain , Fabio Cinti , Massimo Boninsegni

When the density of a nuclear system is decreased, homogeneous states undergo the so-called Mott transition towards clusterised states, e.g. alpha clustering, both in nuclei and in nuclear matter. Here we investigate such a quantum phase…

Nuclear Theory · Physics 2020-07-15 J. -P. Ebran , M. Girod , E. Khan , R. D. Lasseri , P. Schuck

We report the observation of Coulomb blockade in a quantum dot contacted by two quantum point contacts each with a single fully-transmitting mode, a system previously thought to be well described without invoking Coulomb interactions. At…

Mesoscale and Nanoscale Physics · Physics 2012-04-06 S. Amasha , I. G. Rau , M. Grobis , R. M. Potok , H. Shtrikman , D. Goldhaber-Gordon

Clustering of like-sign vortices in a planar bounded domain is known to occur at negative temperature, a phenomenon that Onsager demonstrated to be a consequence of bounded phase space. In a confined superfluid, quantized vortices can…

Quantum Gases · Physics 2016-09-01 Xiaoquan Yu , Thomas P. Billam , Jun Nian , Matthew T. Reeves , Ashton S. Bradley

We introduce two novel quantum Monte Carlo methods and employ them to study the superfluid-insulator transition in a two-dimensional system of hard-core bosons. One of the methods is appropriate for zero temperature and is based upon…

Condensed Matter · Physics 2009-10-22 Shiwei Zhang , N. Kawashima , J. Carlson , J. E. Gubernatis

We investigate transitions between topologically ordered phases in two spatial dimensions induced by the condensation of a bosonic quasiparticle. To this end, we formulate an extension of the theory of symmetry breaking phase transitions…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. A. Bais , J. K. Slingerland

Two-dimensional electron gases in strong magnetic fields provide a canonical platform for realizing a variety of electronic ordering phenomena. Here we review the physics of one intriguing class of interaction-driven quantum Hall states:…

Strongly Correlated Electrons · Physics 2021-05-25 S. A. Parameswaran , B. E. Feldman

A microscopic analysis of the superconducting quantum critical point realized via a pair-breaking quantum phase transition is presented. Finite temperature crossovers are derived for the electrical conductivity, which is a key probe of…

Superconductivity · Physics 2007-09-19 N. Shah , A. V. Lopatin

In one-dimension, quantum fluctuations prevent the appearance of long-range order in a supersolid, and only quasi long-range order can survive. We derive this quantum critical behavior and study its influence on the superfluid response and…

Quantum Gases · Physics 2023-08-11 Chris Bühler , Tobias Ilg , Hans Peter Büchler
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