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In the past decades considerable efforts have been made in order to understand the critical features of both classical and quantum long-range interacting models. The case of the Berezinskii-Kosterlitz-Thouless (BKT) universality class, as…

Statistical Mechanics · Physics 2023-11-17 Guido Giachetti , Andrea Trombettoni , Stefano Ruffo , Nicolò Defenu

We investigate the critical behavior of momentum-space entanglement entropy at dynamical quantum phase transitions (DQPTs) in translationally invariant two-band insulators and superconductors. By analyzing the Su-Schrieffer-Heeger model,…

Quantum Physics · Physics 2026-04-10 Kaiyuan Cao , Mingzhi Li , Xiang-Ping Jiang , Shu Chen , Jian Wang

In the study of phase transitions a very few models are accessible to exact solution. In the most cases analytical simplifications have to be done or some numerical technique has to be used to get insight about their critical properties.…

Statistical Mechanics · Physics 2017-05-24 B. V. Costa , L. A. S. Mól , J. C. S. Rocha

A simple generalization of the theory of crossovers in classical-criticality to quantum-criticality gives that, a Heisenberg model with a small anisotropy favoring planar order has a cross-over towards the fixed point of the xy model in the…

Strongly Correlated Electrons · Physics 2025-02-11 Chandra M. Varma

Unifying equilibrium criticality and dynamical quantum phase transitions (DQPTs) under complex driving fields remains a profound challenge. Here, we decode this connection in the 2D strongly interacting Wen-plaquette model. By mapping its…

Strongly Correlated Electrons · Physics 2026-04-08 Xiao-Ming Zhao , Cui-Xian Guo , Gaoyong Sun , Su-Peng Kou

High temperature series expansions of the spin-spin correlation function for the XY (or plane rotator) model on the triangular lattice are extended by two terms up to order beta^{14}. Tables of the expansion coefficients are reported for…

Statistical Mechanics · Physics 2009-10-31 P. Butera , M. Comi

A model of a ladder of Josephson junctions in a magnetic field is considered. The topological features of the zero-temperature phase diagram, as a function of charging energy and small deviations from commensurability of the vortex lattice,…

Condensed Matter · Physics 2016-08-31 Enzo Granato

We have simulated the three-dimensional Heisenberg model on simple cubic lattices, using the single-cluster Monte Carlo update algorithm. The expected pronounced reduction of critical slowing down at the phase transition is verified. This…

High Energy Physics - Lattice · Physics 2009-10-22 Christian Holm , Wolfhard Janke

The two-dimensional (2D) XY model plays a crucial role in statistical and condensed matter physics. With the introduction of long-range interactions, the system exhibits a richer set of physical phenomena and a crossover between…

Statistical Mechanics · Physics 2025-11-14 Dingyun Yao , Tianning Xiao , Chao Zhang , Youjin Deng , Zhijie Fan

Statistical systems near a classical critical point have been intensively studied both from theoretical and experimental points of view. In particular, correlation functions are of relevance in comparing theoretical models with the…

High Energy Physics - Theory · Physics 2018-05-25 Andrea Amoretti , Nicodemo Magnoli

The quantum coherence of one dimensional planar spin models with the Dzyaloshinsky-Moriya interaction is investigated. The anisotropic XY model, the isotropic XX model and the transverse field model are studied in the large N-limit using…

Quantum Physics · Physics 2017-09-13 Chandrashekar Radhakrishnan , Igor Ermakov , Tim Byrnes

We consider zero-temperature transitions from conformal to non-conformal phases in quantum theories. We argue that there are three generic mechanisms for the loss of conformality in any number of dimensions: (i) fixed point goes to zero…

High Energy Physics - Theory · Physics 2013-05-29 David B. Kaplan , Jong-Wan Lee , Dam T. Son , Mikhail A. Stephanov

Adaptive quantum circuits-where a quantum many-body state is controlled using measurements and conditional unitary operations-are a powerful paradigm for state preparation and quantum error correction tasks. They can support two types of…

Quantum Physics · Physics 2025-06-30 Thomas Iadecola , Justin H. Wilson , J. H. Pixley

We study the transverse-field Ising model on a square lattice with bond- and site-dilution at zero temperature by stochastic series expansion quantum Monte Carlo simulations. Tuning the transverse field $h$ and the dilution $p$, the quantum…

Strongly Correlated Electrons · Physics 2025-05-13 C. Krämer , M. Hörmann , K. P. Schmidt

We study adiabatic quantum quenches across a quantum multicritical point (MCP) using a quenching scheme that enables the system to hit the MCP along different paths. We show that the power-law scaling of the defect density with the rate of…

Statistical Mechanics · Physics 2010-12-06 Victor Mukherjee , Amit Dutta

It is shown that the empirical relations between transition temperature, normal state conductivity linearly extrapolated to the value at the transition temperature, zero temperature penetration depths, etc., as observed in a rich variety of…

Superconductivity · Physics 2009-11-10 T. Schneider

We study a model for a quantum critical point in two spatial dimensions between a semimetallic phase, characterized by a stable quadratic Fermi node, and an ordered phase, in which the spectrum develops a band gap. The quantum critical…

Strongly Correlated Electrons · Physics 2020-09-02 Shouryya Ray , Matthias Vojta , Lukas Janssen

We investigate the quantum phase transitions of a disordered nanowire from superconducting to metallic behavior by employing extensive Monte Carlo simulations. To this end, we map the quantum action onto a (1+1)-dimensional classical XY…

Strongly Correlated Electrons · Physics 2019-01-01 Ahmed K. Ibrahim , Thomas Vojta

In this paper, we show that an effective spin Hamiltonian with various types of couplings can be engineered using quantum simulators in atomic-molecular-optical laboratories, dubbed the \emph{XY}-Gamma model. We analytically solve the…

Quantum Physics · Physics 2022-06-09 Zhuan Zhao , Tian-Cheng Yi , Ming Xue , Wen-Long You

We theoretically explore the dynamical properties of a first-order dissipative phase transition in coherently driven Bose-Hubbard systems, describing, e.g., lattices of coupled nonlinear optical cavities. Via stochastic trajectory…

Quantum Physics · Physics 2018-02-07 Filippo Vicentini , Fabrizio Minganti , Riccardo Rota , Giuliano Orso , Cristiano Ciuti