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In this paper we analyze a quartic tensor model with one interaction for a tensor of arbitrary rank. This model has a critical point where a continuous limit of infinitely refined random geometries is reached. We show that the critical…

High Energy Physics - Theory · Physics 2015-12-02 Dario Benedetti , Razvan Gurau

We investigate a mixed state quantum criticality in the Ising model under $X+ZZ$ decoherence. In the doubled Hilbert space formalism, the decohered state resides on the self-dual critical line of the quantum Ashkin-Teller (qAT) model, as a…

Quantum Physics · Physics 2025-08-26 Yoshihito Kuno , Takahiro Orito , Ikuo Ichinose

Equilibrium phase transitions usually emerge from the microscopic behavior of many-body systems and are associated to interesting phenomena such as the generation of long-range order and spontaneous symmetry breaking. They can be defined…

Quantum Physics · Physics 2023-03-24 Emmanouil Grigoriou , Carlos Navarrete-Benlloch

The investigation and characterization of topological quantum phase transition between gapless phases is one of the recent interest of research in topological states of matter. We consider transverse field Ising model with three spin…

Strongly Correlated Electrons · Physics 2021-01-18 Ranjith R Kumar , Y R Kartik , S Rahul , Sujit Sarkar

The deconfined quantum critical point, a prototype Landau-forbidden transition, could exist in principle in the phase transitions involving symmetry protected topological phase, however, examples of such kinds of transition in physical…

Strongly Correlated Electrons · Physics 2020-01-27 Tian-Sheng Zeng , D. N. Sheng , W. Zhu

The problem of a quantum Ising degree of freedom coupled to a gapless bosonic mode appears naturally in many one dimensional systems, yet surprisingly little is known how such a coupling affects the Ising quantum critical point. We…

Strongly Correlated Electrons · Physics 2017-02-21 Ori Alberton , Jonathan Ruhman , Erez Berg , Ehud Altman

Fluctuations can drive continuous phase transitions between two distinct ordered phases -- so-called deconfined quantum critical points (DQCPs) -- which lie beyond the Landau-Ginzburg-Wilson paradigm. Despite several theoretical predictions…

We propose a generalized Dicke model which supports a quantum tricritical point. We map out the phase diagram and investigate the critical behaviors of the model through exact low-energy effective Hamiltonian in the thermodynamic limit. As…

Quantum Physics · Physics 2019-06-05 Youjiang Xu , Han Pu

The dynamics of a quantum phase transition is inextricably woven with the formation of excitations, as a result of the critical slowing down in the neighborhood of the critical point. We design a transitionless quantum driving through a…

Quantum Physics · Physics 2012-09-17 Adolfo del Campo , Marek M. Rams , Wojciech H. Zurek

Extending notions of phase transitions to nonequilibrium realm is a fundamental problem for statistical mechanics. While it was discovered that critical transitions occur even for transient states before relaxation as the singularity of a…

Statistical Mechanics · Physics 2021-09-02 Ryusuke Hamazaki

Continuous phase transitions where symmetry is spontaneously broken are ubiquitous in physics and often found between `Landau-compatible' phases where residual symmetries of one phase are a subset of the other. However, continuous…

Statistical Mechanics · Physics 2025-03-10 Abhishodh Prakash , Nick G. Jones

The Motzkin and Fredkin chains are frustration-free models with exactly solvable ground states. Their $q$-deformations describe an exotic quantum phase transition from a disordered phase to an ordered one subject to domain-wall boundary…

Strongly Correlated Electrons · Physics 2026-03-03 Olai B. Mykland , Zhao Zhang

Deconfined quantum critical point (DQCP) describes direct, non-fine-tuned quantum phase transition between two ordered phases that break distinct and seemingly unrelated symmetries, providing a route to continuous phase transition beyond…

Strongly Correlated Electrons · Physics 2026-05-18 Zhi-Qiang Gao , Hui Yang , Yan-Qi Wang

We discuss the unusual critical behavior of a generalized XY model containing both 2\pi-periodic and \pi-periodic couplings between sites. The presence of vortices and half-vortices allows for single-particle condensate and pair-condensate…

Statistical Mechanics · Physics 2013-05-29 Yifei Shi , Austen Lamacraft , Paul Fendley

Spin-boson models are simple examples of quantum dissipative systems, but also serve as effective models in quantum magnetism and exhibit nontrivial criticality. Recently, they have been established as a platform to study the nontrivial…

Strongly Correlated Electrons · Physics 2026-01-06 Manuel Weber

Recent experiments on a one-dimensional chain of trapped alkali atoms [arXiv:1707.04344] have observed a quantum transition associated with the onset of period-3 ordering of pumped Rydberg states. This spontaneous $\mathbb{Z}_3$ symmetry…

Strongly Correlated Electrons · Physics 2018-08-14 Rhine Samajdar , Soonwon Choi , Hannes Pichler , Mikhail D. Lukin , Subir Sachdev

Quantum entanglement can be an effective diagnostic tool for probing topological phases protected by global symmetries. Recently, the notion of nontrivial topology in critical systems has been proposed and is attracting growing attention.…

Strongly Correlated Electrons · Physics 2025-08-19 Wen-Hao Zhong , Hai-Qing Lin , Xue-Jia Yu

Symmetries play a central role in both equilibrium and nonequilibrium phase transitions, yet their quantitative characterization in dynamical quantum phase transitions (DQPTs) remains an open challenge. In this work, we establish a direct…

Quantum Physics · Physics 2026-05-19 Andesson B. Nascimento , Lucas Chibebe Céleri

Continuous quantum phase transitions that are beyond the conventional paradigm of fluctuations of a symmetry breaking order parameter are challenging for theory. These phase transitions often involve emergent deconfined gauge fields at the…

Strongly Correlated Electrons · Physics 2019-05-29 Zhen Bi , T. Senthil

We generalize the topological response theory to detect the boundary anomalies of linear subsystem symmetries. This approach allows us to distinguish different subsystem symmetry-protected topological (SSPT) phases and uncover new ones. We…

Strongly Correlated Electrons · Physics 2025-05-20 Ke Ding , Hao-Ran Zhang , Bai-Ting Liu , Shuo Yang