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A grand-canonical system of interacting bosons is considered to study phase transitions of ultracold atoms in an optical lattice. The phase diagram is discussed in terms of a matrix-like order parameter, representing a symmetric phase (Mott…

统计力学 · 物理学 2007-05-23 K. Ziegler

We consider a spin-orbit coupled configuration of spin-1/2 interacting bosons with equal Rashba and Dresselhaus couplings. The phase diagram of the system is discussed with special emphasis to the role of the interaction treated in the…

量子气体 · 物理学 2012-10-02 Yun Li , Lev P. Pitaevskii , Sandro Stringari

In talk I will review the theoretical results that have been obtained for spin glasses, paying a particular attention to finite dimensional spin glasses. I will concentrate my attention on the formulation of the mean field approach and on…

无序系统与神经网络 · 物理学 2009-11-13 Giorgio Parisi

We investigate the superfluid-insulator quantum phase transition in a disordered 1D Bose gas in the mean field limit, by studying the probability distribution of the density. The superfluid phase is characterized by a vanishing probability…

量子气体 · 物理学 2011-04-19 Luca Fontanesi , Michiel Wouters , Vincenzo Savona

In the presence of strong spin-independent interactions and spin-orbit coupling, we show that the spinor Bose liquid confined to one spatial dimension undergoes an interaction- or density-tuned quantum phase transition similar to one…

量子气体 · 物理学 2019-05-21 William S. Cole , Junhyun Lee , Khan W. Mahmud , Yahya Alavirad , I. B. Spielman , Jay D. Sau

We propose a new kind of quantum phase transition in phase separated mixtures of Bose-Einstein condensates. In this transition, the distribution of the two components changes from a symmetric to an asymmetric shape. We discuss the nature of…

统计力学 · 物理学 2009-11-07 Anatoly Svidzinsky , Siu-Tat Chui

At finite temperatures below the phase transition point, the Bose-Einstein condensation, the macroscopic occupation of a single quantum state by particles of integer spin, is not complete. In the language of superfluid helium, this means…

数学物理 · 物理学 2015-09-16 Dionisios Margetis

For general quantum systems the power expansion of the Gibbs potential and consequently the power expansion of the self energy is derived in terms of the interaction strength. Employing a generalization of the projector technique a compact…

统计力学 · 物理学 2019-07-18 T. Plefka

A spin-glass transition occurs both in and out of the limit of validity of mean-field theory on a diluted one dimensional chain of Ising spins where exchange bonds occur with a probability decaying as the inverse power of the distance.…

计算物理 · 物理学 2015-05-19 L. Leuzzi , G. Parisi , F. Ricci-Tersenghi , J. J. Ruiz-Lorenzo

We examine a model of $M$-component quantum rotors coupled by Gaussian-distributed random, infinite-range exchange interactions. A complete solution is obtained at $M=\infty$ in the spin-glass and quantum-disordered phases. The quantum…

凝聚态物理 · 物理学 2009-01-23 Jinwu Ye , Subir Sachdev , N. Read

Using ground state computations, we study the transition from a spin glass to a ferromagnet in 3-d spin glasses when changing the mean value of the spin-spin interaction. We find good evidence for replica symmetry breaking up till the…

无序系统与神经网络 · 物理学 2009-11-07 F. Krzakala , O. C. Martin

We compute the critical exponents of the zero-temperature spin glass transition in a field on a one-dimensional long-range model, a proxy for higher-dimensional systems. Our approach is based on a novel loop expansion within the Bethe…

无序系统与神经网络 · 物理学 2026-02-23 Maria Chiara Angelini , Saverio Palazzi , Giorgio Parisi , Tommaso Rizzo

To establish a unified framework for studying both discrete and continuous coupling distributions, we introduce the {\it binomial} spin glass, a class of models where the couplings are sums of $m$ identically distributed Bernoulli random…

无序系统与神经网络 · 物理学 2018-08-29 Mohammad-Sadegh Vaezi , Gerardo Ortiz , Martin Weigel , Zohar Nussinov

The ground-state phase diagram of an Ising spin-glass model on a random graph with an arbitrary fraction $w$ of ferromagnetic interactions is analysed in the presence of an external field. Using the replica method, and performing an…

无序系统与神经网络 · 物理学 2012-10-12 M. O. Hase , J. R. L. de Almeida , S. R. Salinas

The two Bose--Einstein condensed phases of a polar spin-1 gas at nonzero magnetizations and temperatures are investigated. The Hugenholtz--Pines theorem is generalized to this system. Crossover to a quantum phase transition is also studied.…

其他凝聚态物理 · 物理学 2011-11-09 Krisztian Kis-Szabo , Peter Szepfalusy , Gergely Szirmai

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…

强关联电子 · 物理学 2009-11-11 Omid Nohadani , Stefan Wessel , Stephan Haas

We prove that the empirical density of states of quantum spin glasses on arbitrary graphs converges to a normal distribution as long as the maximal degree is negligible compared with the total number of edges. This extends the recent…

数学物理 · 物理学 2016-10-25 László Erdős , Dominik Schröder

We have investigated the phase transition in the Heisenberg spin glass using massive numerical simulations to study larger sizes, 48x48x48, than have been attempted before at a spin glass phase transition. A finite-size scaling analysis…

无序系统与神经网络 · 物理学 2009-07-27 L. A. Fernandez , V. Martin-Mayor , S. Perez-Gaviro , A. Tarancon , A. P. Young

Some invariances under perturbations of the spin glass phase are introduced, their proofs outlined and their consequences illustrated as factorisation rules for the overlap distribution. A comparison between the state of the art for mean…

数学物理 · 物理学 2012-12-04 Pierluigi Contucci

We present a detailed description of a classification scheme for phase transitions in finite systems based on the distribution of Fisher zeros of the canonical partition function in the complex temperature plane. We apply this scheme to…

统计力学 · 物理学 2009-10-31 Oliver Muelken , Peter Borrmann , Jens Harting , Heinrich Stamerjohanns