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Symmetry protected topological states (SPTs) have the same symmetry and the phase transition between them are beyond Landau's symmetry breaking formalism. In this paper we study (1) the critical theory of phase transition between trivial…

Strongly Correlated Electrons · Physics 2013-09-10 Xie Chen , Fa Wang , Yuan-Ming Lu , Dung-Hai Lee

Understanding correlation effects in topological phases and their transitions is a cutting-edge area of research in recent condensed matter physics. We study topological quantum phase transitions (TQPTs) between double-Weyl semimetals…

Strongly Correlated Electrons · Physics 2019-05-14 SangEun Han , Changhee Lee , Eun-Gook Moon , Hongki Min

We generalize the Ensemble Geometric Phase (EGP), recently introduced to classify the topology of density matrices, to finite-temperature states of interacting systems in one spatial dimension (1D). This includes cases where the gapped…

Strongly Correlated Electrons · Physics 2021-12-20 Razmik Unanyan , Maximilian Kiefer-Emmanouilidis , Michael Fleischhauer

An interacting one-dimensional electron system, the Luttinger liquid, is distinct from the "conventional" Fermi liquids formed by interacting electrons in two and three dimensions. Some of its most spectacular properties are revealed in the…

Higher-order topological phase transitions (HOTPTs) are associated with closing either the bulk energy gap (type-I) or boundary energy gap (type-II) without changing symmetry, and conventionally the both transitions are captured in real…

Mesoscale and Nanoscale Physics · Physics 2023-08-24 Wei Jia , Xin-Chi Zhou , Lin Zhang , Long Zhang , Xiong-Jun Liu

Second order quantum phase transitions, with well-known features such as long-range entanglement, symmetry breaking, and gap closing, exhibit quantum enhancement for sensing at criticality. However, it is unclear which of these features are…

Quantum Physics · Physics 2022-08-29 Saubhik Sarkar , Chiranjib Mukhopadhyay , Abhijeet Alase , Abolfazl Bayat

Parity-time (PT) symmetry and anti-PT symmetry have attracted extensive interest for their non-Hermitian spectral properties, particularly the emergence of purely real and imaginary eigenvalues in their symmetry-unbroken regime,…

Topological phases of matters are of fundamental interest and have promising applications. Fascinating topological properties of light have been unveiled in classical optical materials. However, the manifestation of topological physics in…

Optics · Physics 2015-08-06 Da-Wei Wang , Han Cai , Luqi Yuan , Shi-Yao Zhu , Ren-Bao Liu

The paradigm of second-order phase transitions (PTs) induced by spontaneous symmetry breaking (SSB) in thermal and quantum systems is a pillar of modern physics that has been fruitfully applied to out-of-equilibrium open quantum systems.…

Quantum Physics · Physics 2022-01-19 Fabrizio Minganti , Ievgen I. Arkhipov , Adam Miranowicz , Franco Nori

A series of symmetry-protected topological(SPT) and trivial spin-gap phases in the spin-1/2 ferromagnetic--antiferromagnetic alternating Heisenberg chain with alternating next-nearest-neighbour interaction are investigated using two kinds…

Strongly Correlated Electrons · Physics 2016-11-28 Kazuo Hida

The interplay between electronic correlations and band topology is a central theme in modern condensed matter physics. In this work, we investigate the effects of on-site Hubbard interactions on the topological, magnetic, and quantum…

Strongly Correlated Electrons · Physics 2025-10-01 Abdiel de Jesús Espinosa-Champo , Gerardo G. Naumis

Gapless quantum phases can become distinct when internal symmetries are enforced, in analogy with gapped symmetry-protected topological (SPT) phases. However, this distinction does not always lead to protected edge modes, raising the…

Strongly Correlated Electrons · Physics 2025-12-30 Saranesh Prembabu , Shu-Heng Shao , Ruben Verresen

The conception of the conformal phase transiton (CPT), which is relevant for the description of non-perturbative dynamics in gauge theories, is introduced and elaborated. The main features of such a phase transition are established. In…

High Energy Physics - Theory · Physics 2014-11-18 V. A. Miransky , Koichi Yamawaki

Symmetry-protected topological (SPT) phases are gapped short-range-entangled quantum phases with a symmetry $G$, which can all be smoothly connected to the trivial product states if we break the symmetry. It has been shown that a large…

Strongly Correlated Electrons · Physics 2014-09-25 Zheng-Cheng Gu , Xiao-Gang Wen

Exploring controllable interactions lies at the heart of quantum science. Neutral Rydberg atoms provide a versatile route toward flexible interactions between single quanta. Previous efforts mainly focused on the excitation…

Quantum Physics · Physics 2021-02-02 Xiao-Feng Shi

We study an integrable spin chain with three spin interactions and the staggered field ($\lambda$) while the latter is quenched either slowly (in a linear fashion in time ($t$) as $t/\tau$ where $t$ goes from a large negative value to a…

Statistical Mechanics · Physics 2016-06-22 Uma Divakaran , Shraddha Sharma , Amit Dutta

Measurement-only quantum circuits offer a versatile platform for realizing intriguing quantum phases of matter. However, gapless symmetry-protected topological (gSPT) states remain insufficiently explored in these settings. In this Letter,…

Strongly Correlated Electrons · Physics 2026-04-07 Xue-Jia Yu , Sheng Yang , Shuo Liu , Hai-Qing Lin , Shao-Kai Jian

We report topological nonlinear optics with spin-orbit coupled Bose-Einstein condensate in a cavity. The cavity is driven by a pump laser and weak probe laser which excite Bose-Einstein condensate to an intermediate storage level, where the…

Optics · Physics 2018-03-13 Kashif Ammar Yasir , Lin Zhuang , Wu-Ming Liu

We consider the phase-transition-like behaviour in the Rabi model containing a single two-level system, or qubit, and a single harmonic oscillator. The system experiences a sudden transition from an uncorrelated state to an increasingly…

Quantum Physics · Physics 2013-12-30 S. Ashhab

We discuss physical constructions, and the boundary properties of various symmetry protected topological phases that involve 1-form symmetries, from one spatial dimension (1d) to four spatial dimensions (4d). For example, the prototype 3d…

Strongly Correlated Electrons · Physics 2021-02-24 Chao-Ming Jian , Xiao-Chuan Wu , Yichen Xu , Cenke Xu
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