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The attractive inverse square potential arises in a number of physical problems such as a dipole interacting with a charged wire, the Efimov effect, the Calgero-Sutherland model, near-horizon black hole physics and the optics of Maxwell…

Quantum Physics · Physics 2021-12-03 Sriram Sundaram , C. P. Burgess , D. H. J. O'Dell

A string of repulsively interacting particles exhibits a phase transition to a zigzag structure, by reducing the transverse trap potential or the interparticle distance. The transition is driven by transverse, short wavelength vibrational…

Statistical Mechanics · Physics 2013-10-30 Pietro Silvi , Gabriele De Chiara , Tommaso Calarco , Giovanna Morigi , Simone Montangero

Quantum criticality often lies beyond the scope of the conventional Landau paradigm, and a unifying framework has yet to emerge, due in part to the wide variety of quantum orders. We propose a geometric approach to quantum phase transitions…

Quantum Physics · Physics 2025-06-23 Chaoming Song

In continuous topological phase transitions (CTPTs), the low-energy physics is governed by gap-closing subspaces, where approximate "higher" symmetries, termed quasisymmetries, may emerge. Here, we introduce the notion of quasisymmetry…

Materials Science · Physics 2026-01-22 Jiayu Li , Feng-Ren Fan , Wang Yao

This work is concerned with the excited state quantum phase transitions (ESQPTs) defined in Ann.Phys. 323, 1106 (2008). In many-body models that exhibit such transitions, the ground state quantum phase transition (QPT) occurs in parallel…

Statistical Mechanics · Physics 2018-01-08 Francisco Pérez-Bernal , Lea F. Santos

The problem of finding a microscopic theory of phase transitions across a critical point is a central unsolved problem in theoretical physics. We find a general solution to that problem and present it here for the cases of Bose-Einstein…

Statistical Mechanics · Physics 2016-01-05 Vitaly V. Kocharovsky , Vladimir V. Kocharovsky

A symmetry-protected topological phase has nontrivial surface states in the presence of certain symmetries, which can either be gapless or be degenerate. In this work, we study the physical consequence of such gapless surface states at the…

Strongly Correlated Electrons · Physics 2017-03-01 Long Zhang , Fa Wang

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…

Quantum Gases · Physics 2019-05-21 William S. Cole , Junhyun Lee , Khan W. Mahmud , Yahya Alavirad , I. B. Spielman , Jay D. Sau

Entanglement exhibits universal behavior near the ground-state critical point where correlations are long-ranged and the thermodynamic entropy is vanishing. On the other hand, a quantum quench imparts extensive energy and results in a…

Quantum Gases · Physics 2022-02-11 Sanku Paul , Paraj Titum , Mohammad F. Maghrebi

Dynamical quantum phase transitions (DQPTs) feature singular temporal behavior in transient quantum states during nonequilibrium real-time evolution. In this work we show that DQPTs in random Ising chains exhibit critical behavior with…

Statistical Mechanics · Physics 2021-10-04 Daniele Trapin , Jad C. Halimeh , Markus Heyl

The Boltzmann distribution encodes our subjective knowledge of the configuration in a classical lattice model, given only its Hamiltonian. If we acquire further information about the configuration from measurement, our knowledge is updated…

Statistical Mechanics · Physics 2025-04-03 Adam Nahum , Jesper Lykke Jacobsen

Bulk topology and criticality can both lead to nontrivial boundary effects. Topological orders are often characterized by their robust edge states, while bulk critical points can have different boundary scalings governed by boundary…

Strongly Correlated Electrons · Physics 2024-05-30 Nayan Myerson-Jain , Xiao-Chuan Wu , Cenke Xu

Topological phase transitions challenge conventional paradigms in many-body physics by separating phases that are locally indistinguishable yet globally distinct. Using a quantum simulator of interacting erbium atoms in an optical lattice,…

We study critical properties of the entanglement and charge-sharpening measurement-induced phase transitions in a non-unitary quantum circuit evolving with a U(1) conserved charge. Our numerical estimation of the critical properties of the…

Disordered Systems and Neural Networks · Physics 2024-11-15 Ahana Chakraborty , Kun Chen , Aidan Zabalo , Justin H. Wilson , J. H. Pixley

We investigate the critical properties of the phase transition towards complex tensor order that has been proposed to occur in spin-orbit coupled superconductors. For this purpose we formulate the bosonic field theory for fluctuations of…

Strongly Correlated Electrons · Physics 2018-02-08 Igor Boettcher , Igor F. Herbut

Anyons in a topologically ordered phase can carry fractional quantum numbers with respect to the symmetry group of the considered system, one example being the fractional charge of the quasiparticles in the fractional quantum Hall effect.…

Strongly Correlated Electrons · Physics 2023-01-18 Michael Schuler , Louis-Paul Henry , Yuan-Ming Lu , Andreas M. Läuchli

Motivated by attempts to quantum simulate lattice models with continuous Abelian symmetries using discrete approximations, we study an extended-O(2) model in two dimensions that differs from the ordinary O(2) model by the addition of an…

High Energy Physics - Lattice · Physics 2024-04-01 Leon Hostetler , Ryo Sakai , Jin Zhang , Alexei Bazavov , Yannick Meurice

In quantum statistical mechanics, finite-temperature phase transitions are typically governed by classical field theories. In this context, the role of quantum correlations is unclear: recent contributions have shown how entanglement is…

Statistical Mechanics · Physics 2022-02-08 Poetri Sonya Tarabunga , Tiago Mendes-Santos , Fabrizio Illuminati , Marcello Dalmonte

The transition to an absorbing phase in a spatiotemporal system is a well-investigated nonequilibrium dynamic transition. The absorbing phase transitions fall into a few universality classes, defined by the critical exponents observed at…

Statistical Mechanics · Physics 2025-09-10 Priyanka D. Bhoyar , Govindan Rangarajan , Prashant M. gade

In recent years, various notions of dynamical phase transitions have emerged to describe far-from-equilibrium criticality. A unifying framework connecting these different concepts is still missing, and would provide significant progress…

Statistical Mechanics · Physics 2024-04-04 Ángel L. Corps , Armando Relaño , Jad C. Halimeh
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