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It is known that noisy topological quantum codes are related to random bond Ising models where the order-disorder phase transition in the classical model is mapped to the error threshold of the corresponding topological code. On the other…

Quantum Physics · Physics 2019-12-11 Mohammad Hossein Zarei , Abolfazl Ramezanpour

A general framework is proposed to solve the two-dimensional fully frustrated XY model for the Josephson junction arrays in a perpendicular magnetic field. The essential idea is to encode the ground-state local rules induced by frustrations…

Strongly Correlated Electrons · Physics 2022-04-22 Feng-Feng Song , Guang-Ming Zhang

A quantum phase transition (QPT), including both topological and symmetry breaking types, is usually induced by the change of global parameters, such as external fields or global coupling constants. In this work, we demonstrate the…

Quantum Physics · Physics 2016-12-26 C. Li , G. Zhang , S. Lin , Z. Song

It is well-known that the partition function of a classical spin model can be mapped to a quantum entangled state where some properties on one side can be used to find new properties on the other side. However, the consequences of the…

Quantum Physics · Physics 2019-05-13 Mohammad Hossein Zarei , Afshin Montakhab

We study theoretically the topological quantum phase transition in Cavity QED lattice. We predict the condition for non-topological phase to the topological phase transition conditions for three different model Hamiltonians in cavity QED…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Chandan GN , N. Banerjee , Sujit Sarkar

Topological insulators and topological superconductors display various topological phases that are characterized by different Chern numbers or by gapless edge states. In this work we show that various quantum information methods such as the…

Strongly Correlated Electrons · Physics 2015-03-18 T. P. Oliveira , P. D. Sacramento

We study the phase transition between a trivial and a time-reversal-invariant topological superconductor in a single-band system. By analyzing the interplay of symmetry, topology and energetics, we show that for a generic normal state band…

Superconductivity · Physics 2017-11-08 Yuxuan Wang , Liang Fu

In this article we present analytical results on the exact tensor network representations and correlation functions of the first examples of 2D ground states with quantum phase transitions between area law and extensive entanglement…

Quantum Physics · Physics 2025-03-26 Olai B. Mykland , Zhao Zhang

We show that, depending on the ratio between the inter- and the intra-species interactions, a binary mixture trapped in a three-well potential with periodic boundary conditions exhibits three macroscopic ground-state configurations which…

Quantum Gases · Physics 2018-07-11 Vittorio Penna , Andrea Richaud

Quantum data learning (QDL) provides a framework for extracting physical insights directly from quantum states, bypassing the need for any identification of the classical observable of the theory. A central challenge in many-body physics is…

Transitions between different topologically ordered phases have been studied by artificially creating boundaries between these gapped phases and thus studying their effects relating to condensation and tunneling of particles from one phase…

Strongly Correlated Electrons · Physics 2015-10-23 Pramod Padmanabhan , Miguel Jorge Bernabé Ferreira , Paulo Teotonio-Sobrinho

For any translation-invariant quantum lattice system with a symmetry group G, we propose a practical and universal construction of order parameters which identify quantum phase transitions with symmetry-breaking order. They are defined in…

Statistical Mechanics · Physics 2009-09-17 Jin-Hua Liu , Qian-Qian Shi , Hong-Lei Wang , Jon Links , Huan-Qiang Zhou

Criticality-based quantum sensing exploits hypersensitive response to system parameters near phase transition points. This work uncovers two metrological advantages offered by topological phase transitions when the probe is prepared as…

Quantum Physics · Physics 2025-12-30 Xingjian He , Aoqian Shi , Jianjun Liu , Jiangbin Gong

In quantum multiparameter estimation, multiple to-be-estimated parameters are encoded in a quantum dynamics system by a unitary evolution. As the parameters vary, the system may undergo a topological phase transition (TPT). In this paper,…

Quantum Physics · Physics 2024-02-13 Yu Yang , Haidong Yuan , Fuli Li

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

Decades of research have revealed a deep understanding of topological quantum matter with protected edge modes. We report that even richer physics emerges when tuning between two topological phases of matter whose respective edge modes are…

Strongly Correlated Electrons · Physics 2025-09-05 Saranesh Prembabu , Ryan Thorngren , Ruben Verresen

Gapped phases in 2+1 dimensional quantum field theories with fusion 2-categorical symmetries were recently classified and characterized using the Symmetry Topological Field Theory (SymTFT) approach arXiv:2408.05266, arXiv:2502.20440. In…

Strongly Correlated Electrons · Physics 2026-02-18 Kansei Inamura , Sheng-Jie Huang , Apoorv Tiwari , Sakura Schafer-Nameki

We study the topological nature of both isotropic and anisotropic SU(N) Thirring model. It is shown that in the isotropic model there exists the special point where the system lives in the topological phase and that in the anisotropic one…

High Energy Physics - Theory · Physics 2007-05-23 Hiroshi Nohara

According to the classification using projective representations of the SO(3) group, there exist two topologically distinct gapped phases in spin-1 chains. The symmetry-protected topological (SPT) phase possesses half-integer projective…

Strongly Correlated Electrons · Physics 2014-01-09 Wei Li , Andreas Weichselbaum , Jan von Delft

In this work, we present a theory for topological phases for quantum systems on tree graphs. Conventionally, topological phases of matter have been studied in regular lattices, but also in quasicrystals and amorphous settings. We consider…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Alex Westström , Wenbu Duan , Kangpei Yao , Xiaonan Wang , Jie Liu , Jian Li