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In recent years, quantum phase transitions have attracted the interest of both theorists and experimentalists in condensed matter physics. These transitions, which are accessed at zero temperature by variation of a non-thermal control…

Condensed Matter · Physics 2009-11-10 Matthias Vojta

We study the stability of topological order against local perturbations by considering the effect of a magnetic field on a spin model -- the toric code -- which is in a topological phase. The model can be mapped onto a quantum loop gas…

Statistical Mechanics · Physics 2008-12-02 Simon Trebst , Philipp Werner , Matthias Troyer , Kirill Shtengel , Chetan Nayak

The study of continuous phase transitions triggered by spontaneous symmetry breaking has brought new concepts that revolutionized the way we understand many-body systems. Recently, through the discovery of symmetry protected topological…

Strongly Correlated Electrons · Physics 2015-11-25 Lokman Tsui , Fa Wang , Dung-Hai Lee

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

Topology and symmetry play critical roles in characterizing quantum phases of matter. Recent advancements have unveiled symmetry-protected topological (SPT) phases in many-body systems as a unique class of short-range entangled states,…

Quantum Physics · Physics 2025-03-13 Ruizhe Shen , Tianqi Chen , Bo Yang , Yin Zhong , Ching Hua Lee

The many-body state of carriers confined in a quantum dot is controlled by the balance between their kinetic energy and their Coulomb correlation. In coupled quantum dots, both can be tuned by varying the inter-dot tunneling and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Massimo Rontani , Filippo Troiani , Ulrich Hohenester , Elisa Molinari

In this paper we study the effect of non-trivial spatial topology on quantum entanglement by examining the degenerate ground states of a topologically ordered system on torus. Using the string-net (fixed-point) wave-function, we propose a…

Strongly Correlated Electrons · Physics 2016-08-17 Zhu-Xi Luo , Yu-Ting Hu , Yong-Shi Wu

Ginzburg-Landau theory of continuous phase transitions implicitly assumes that microscopic changes are negligible in determining the thermodynamic properties of the system. In this work we provide an example that clearly contrasts with this…

Statistical Mechanics · Physics 2022-03-09 Vanja Marić , Gianpaolo Torre , Fabio Franchini , Salvatore Marco Giampaolo

The quantum phase transition in an atom-molecule conversion system with atomic hopping between different hyperfine states is studied. In mean field approximation, we give the phase diagram whose phase boundary only depends on the atomic…

Quantum Gases · Physics 2015-06-12 Ning-Ju Hui , Li-Hua Lu , Xiao-Qiang Xu , You-Quan Li

We introduce and study dynamical probes of band structure topology in the post-quench time-evolution from mixed initial states of quantum many-body systems. Our construction generalizes the notion of dynamical quantum phase transitions…

Quantum Gases · Physics 2017-11-29 M. Heyl , J. C. Budich

We have constructed a general theory describing the topological quantum phase transitions in 3D systems with broken inversion symmetry. While the consideration of the system's codimension generally predicts the appearance of a stable…

Strongly Correlated Electrons · Physics 2015-06-05 Bohm-Jung Yang , Mohammad Saeed Bahramy , Ryotaro Arita , Hiroki Isobe , Eun-Gook Moon , Naoto Nagaosa

Kitaev honeycomb model with topological phase transition at zero temperature is studied using quantum information method. Based on the exact solution of the ground state, the mutual information between two nearest sites and between two…

Quantum Physics · Physics 2015-03-17 Jian Cui , Jun-Peng Cao , Heng Fan

A local impurity usually only strongly affects few single-particle energy levels, thus cannot induce a quantum phase transition (QPT), or any macroscopic quantum phenomena in a many-body system within the Hermitian regime. However, it may…

Quantum Physics · Physics 2020-02-26 P. Wang , K. L. Zhang , Z. Song

We demonstrate mesoscopic transport through quantum states in quasi-1D lattices maintaining the combination of parity and time-reversal symmetries by controlling energy gain and loss. We investigate the phase diagram of the non-Hermitian…

Quantum Physics · Physics 2017-08-30 Jung-Wan Ryu , Nojoon Myoung , Hee Chul Park

The past two decades have witnessed a surge of interest in exploring correlation and coherence measures to investigate quantum phase transitions (QPTs). Here, motivated by the continued push along this direction, we propose a measure which…

Quantum Physics · Physics 2022-09-07 Ming-Ming Du , Abdul Sattar Khan , Zhao-Yi Zhou , Da-Jian Zhang

Lattice degrees of freedom (DoFs) may induce quantum disorder (QD) when nuclear tunneling outvies long-range order, but conventional phonon theory is incapable of describing such QD phases. Here we develop a method based on path-integral…

Other Condensed Matter · Physics 2025-08-05 Yu-Cheng Zhu , Jia-Xi Zeng , Qi-Jun Ye , Xin-Zheng Li

The method of synthetic gauge potentials opens up a new avenue for our understanding and discovering novel quantum states of matter. We investigate the topological quantum phase transition of Fermi gases trapped in a honeycomb lattice in…

Quantum Gases · Physics 2015-03-19 Fadi Sun , Xiao-Lu Yu , Jinwu Ye , Heng Fan , Wu-Ming Liu

We develop a general theory of the relation between quantum phase transitions (QPTs) characterized by nonanalyticities in the energy and bipartite entanglement. We derive a functional relation between the matrix elements of two-particle…

Quantum Physics · Physics 2007-05-23 Lian-Ao Wu , Marcelo S. Sarandy , Daniel A. Lidar

The entanglement properties of the phase transition in a two dimensional harmonic lattice, similar to the one observed in recent ion trap experiments, are discussed both, for finite number of particles and thermodynamical limit. We show…

Quantum Physics · Physics 2015-05-13 Elisabeth Rieper , Janet Anders , Vlatko Vedral

Pronounced structural changes within individual configurations (Type I QPT), superimposed on an abrupt crossing of these configurations (Type II QPT), define the notion of intertwined quantum phase transitions (QPTs). We discuss and present…

Nuclear Theory · Physics 2024-11-25 A. Leviatan