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Dynamical detection of quantum phases and phase transitions (QPT) in quenched systems with experimentally convenient initial states is a topic of interest from both theoretical and experimental perspectives. Quenched from polarized states,…

Quantum Physics · Physics 2021-06-10 Ceren B. Dağ , Kai Sun

We review the non-zero temperature relaxational dynamics of quantum systems near a zero temperature, second-order phase transition. We begin with the quantum Ising chain, for which universal and exact results for the relaxation rates can be…

Strongly Correlated Electrons · Physics 2017-08-23 Subir Sachdev

The concept of quantum phase transitions (QPT) plays a central role in the description of condensed matter systems. In this contribution, we perform high-quality wavefunction-based simulations to demonstrate the existence of a quantum phase…

Quantum Physics · Physics 2023-01-25 Tobias Serwatka , Roger G. Melko , Anton Burkov , Pierre-Nicholas Roy

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

We present a theoretical study of quantum phases and quantum phase transitions occurring in non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric superconducting qubits chains described by a transverse-field Ising spin model. A non-Hermitian…

Quantum Physics · Physics 2023-08-15 Grigory A. Starkov , Mikhail V. Fistoul , Ilya M. Eremin

We theoretically study the dynamics of a transverse-field Ising chain with power-law decaying interactions characterized by an exponent $\alpha$, which can be experimentally realized in ion traps. We focus on two classes of emergent…

Quantum Gases · Physics 2018-04-04 Bojan Zunkovic , Markus Heyl , Michael Knap , Alessandro Silva

We study quantum phase transitions in transverse-field Ising spin chains in which the couplings are random but hyperuniform, in the sense that their large-scale fluctuations are suppressed. We construct a one-parameter family of disorder…

Statistical Mechanics · Physics 2019-10-23 Philip J. D. Crowley , C. R. Laumann , Sarang Gopalakrishnan

We examine the ground state properties of the s=1/2 transverse Ising chain with regularly alternating bonds and fields using exact analytical results and exact numerical data for long (up to N=900) and short (N=20) chains. For a given…

Condensed Matter · Physics 2009-11-07 Oleg Derzhko , Johannes Richter , Taras Krokhmalskii , Oles' Zaburannyi

Quantum phase transitional behavior of a finite periodic XX spin-1/2 chain with nearest neighbor interaction in a uniform transverse field is studied based on the simple exact solutions. It is found that there are [N/2] level-crossing…

Quantum Physics · Physics 2007-05-23 Feng Pan , Nan Ma , Xin Guan , J. P. Draayer

We consider an Ising model where longitudinal components of every pair of spins have antiferromagnetic interaction of the same magnitude. When subjected to a transverse magnetic field at zero temperature, the system undergoes a phase…

Statistical Mechanics · Physics 2015-05-14 Anindita Ganguli , Subinay Dasgupta

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 consider spin systems with long-range interactions in nonadditive regime. When the non-additive scaling limit is employed, the energy and the entropy compete and the system exhibits some phase transitions. Such systems do not satisfy the…

Statistical Mechanics · Physics 2013-10-15 Takashi Mori

This review is focused on various properties of quantum phase transitions (QPTs) in the Interacting Boson Model (IBM) of nuclear structure. The model in its infinite-size limit exhibits shape-phase transitions between spherical, deformed…

Nuclear Theory · Physics 2008-12-18 Pavel Cejnar , Jan Jolie

We investigate thermal and nonthermal quantum correlations in the one dimensional spin 1 bilinear-biquadratic Heisenberg model. Using tools from quantum information theory such as generalized concurrence, negativity, and various measures of…

Quantum Physics · Physics 2024-12-31 Ghader Najarbashi , Hassan Bahmani , Babak Tarighi

Motivated by recent progress on field-induced phase transitions in quasi-one-dimensional quantum antiferromagnets, we study the phase diagram of $S=1/2$ antiferromagnetic Heisenberg chains with Ising anisotropic interchain couplings under a…

Strongly Correlated Electrons · Physics 2020-03-25 Yuchen Fan , Jiahao Yang , Weiqiang Yu , Jianda Wu , Rong Yu

We consider the spin-1/2 Ising chain in a regularly alternating transverse field to examine the effects of regular alternation on the quantum phase transition inherent in the quantum Ising chain. The number of quantum phase transition…

Statistical Mechanics · Physics 2007-05-23 Oleg Derzhko , Taras Krokhmalskii

Excited state quantum phase transitions (ESQPTs) are generalizations of quantum phase transitions (QPTs) to excited levels. They are associated with local divergences in the density of states. Here, we investigate how the presence of an…

Statistical Mechanics · Physics 2016-07-27 Lea F. Santos , Marco Távora , Francisco Pérez-Bernal

Quantum phase transitions occur at zero temperature upon variation of some nonthermal control parameters. The Ising chain in a transverse field is probably the most-studied model undergoing such a transition, from ferromagnetic to…

Strongly Correlated Electrons · Physics 2011-03-02 Y. F. Dai , H. Zhang , S. Y. Zhou , B. Y. Pan , X. Qiu , X. C. Hong , T. Y. Guan , J. K. Dong , Y. Chen , S. Y. Li

Discontinuous quantum phase transitions besides their general interest are clearly relevant to the study of heavy fermions and magnetic transition metal compounds. Recent results show that in many systems belonging to these classes of…

Strongly Correlated Electrons · Physics 2007-05-23 Andre S. Ferreira , Mucio A. Continentino

The behavior in an external magnetic field is studied for a wide class of multichain quantum spin models. It is shown that the magnetic field together with the interchain couplings cause commensurate-incommensurate phase transitions between…

Strongly Correlated Electrons · Physics 2009-10-31 A. A. Zvyagin