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The relationship between quantum phase transition and complex geometric phase for open quantum system governed by the non-Hermitian effective Hamiltonian with the accidental crossing of the eigenvalues is established. In particular, the…

Quantum Physics · Physics 2008-11-26 Alexander I. Nesterov , S. G. Ovchinnikov

We consider thermal transport between two reservoirs coupled by a quantum Ising chain as a model for non-equilibrium physics induced in quantum-critical many-body systems. By deriving rate equations based on exact expressions for the…

Statistical Mechanics · Physics 2012-12-13 Malte Vogl , Gernot Schaller , Tobias Brandes

The percolation study offers valuable insights into the characteristics of phase transition, shedding light on the underlying mechanisms that govern the formation of global connectivity within the system. We explore the percolation phase…

Nuclear Theory · Physics 2025-04-02 Ranran Guo , Xiaobing Li , Rui Wang , Shiyang Chen , Yuanfang Wu , Zhiming Li

Parafermions are exotic quasiparticles with non-Abelian fractional statistics that can be realized and stabilized in 1-dimensional models that are generalizations of the Kitaev p-wave wire. We study the simplest generalization, i.e. the…

Strongly Correlated Electrons · Physics 2015-08-03 Ye Zhuang , Hitesh J. Changlani , Norm M. Tubman , Taylor L. Hughes

Quantum Ising model is an exactly solvable model of quantum phase transition. This paper gives an exact solution when the system is driven through the critical point at finite rate. The evolution goes through a series of Landau-Zener level…

Other Condensed Matter · Physics 2009-11-11 Jacek Dziarmaga

Recent advancements in quantum computing technology have enabled the study of fermionic systems at finite temperature via quantum simulations. This presents a novel approach to investigating the chiral phase transition in such systems.…

Quantum Physics · Physics 2025-10-30 Jia-Qi Gong , Ji-Chong Yang

Antiferromagnetic Heisenberg integer-spin chains are characterized by a spin-liquid ground state with no long-range order, due to the relevance of quantum fluctuations. Spin anisotropy, however, freezes quantum fluctuations, and the system…

Strongly Correlated Electrons · Physics 2007-05-23 M. Capone , S. Caprara , L. Cataldi

We study a relativistic spin-1/2 fermion subjected to a Dirac oscillator coupling and a constant magnetic field. An interplay between opposed chirality interactions culminates in the appearance of a relativistic quantum phase transition,…

Quantum Physics · Physics 2009-11-13 A. Bermudez , M. A. Martin-Delgado , A. Luis

We study the real-time dynamics of a quantum Ising chain driven periodically by instantaneous quenches of the transverse field (the transverse field varying as rectangular wave symmetric about zero). Two interesting phenomena are reported…

Quantum Physics · Physics 2012-08-13 Sirshendu Bhattacharyya , Arnab Das , Subinay Dasgupta

Proposed is a generalization of Jordan-Wigner transform that allows to exactly fermionize a large family of quantum spin Hamiltonians in dimensions higher than one. The key new steps are to enlarge the Hilbert space of the original model by…

Strongly Correlated Electrons · Physics 2014-11-20 Victor Galitski

We show that the ground-state quantum correlations of an Ising model can be detected by monitoring the time evolution of a single spin alone, and that the critical point of a quantum phase transition is detected through a maximum of a…

An effective Hamiltonian describing interaction between generic "fast" and a "slow" systems is obtained in the strong interaction limit. The result is applied for studying the effect of quantum phase transition as a bifurcation of the…

Quantum Physics · Physics 2009-11-13 Isabel Sainz , Andrei B. Klimov , Luis Roa

Quantum phase transitions are sudden changes in the ground-state wavefunction of a many-body system that can occur as a control parameter such as a concentration or a field strength is varied. They are driven purely by the competition…

Strongly Correlated Electrons · Physics 2017-09-21 Jun Jing , Mike Guidry , Lian-Ao Wu

A brief survey of the theoretical, numerical and experimental studies of the random field Ising model during last three decades is given. Nature of the phase transition in the three-dimensional RFIM with Gaussian random fields is discussed.…

Disordered Systems and Neural Networks · Physics 2009-11-13 Victor Dotsenko

We investigate the quantum phase transition (QPT) in the XXZ central spin model, which can be described as a spin-1/2 particle coupled to N bath spins. In general, the QPT is supposed to occur only in the thermodynamical limit. In contrast,…

Quantum Physics · Physics 2023-02-01 Lei Shao , Rui Zhang , Wangjun Lu , Zhucheng Zhang , Xiaoguang Wang

Quantifying of quantum coherence of a given system not only plays an important role in quantum information science but also promote our understanding on some basic problems, such as quantum phase transition. Conventional quantum coherence…

Quantum Physics · Physics 2020-10-28 Meng Qin

The investigation of the behavior of both classical and quantum systems on non-Euclidean surfaces near the phase transition point represents an interesting research area of modern physics. In the case of classical spin systems, a…

Statistical Mechanics · Physics 2020-03-30 Michal Daniška , Andrej Gendiar

The Jordan-Wigner transformation maps a one-dimensional spin-1/2 system onto a fermionic model without spin degree of freedom. A double chain of quantum bits with XX and ZZ couplings of neighboring qubits along and between the chains,…

Quantum Physics · Physics 2018-02-09 Jan-Michael Reiner , Michael Marthaler , Jochen Braumüller , Martin Weides , Gerd Schön

We have introduced a novel Majorana representation of S=1/2 spins using the Jordan-Wigner transformation and have shown that a generalized spin model of Kitaev defined on a brick-wall lattice is equivalent to a model of non-interacting…

Strongly Correlated Electrons · Physics 2009-11-11 Xiao-Yong Feng , Guang-Ming Zhang , Tao Xiang

The spin-1/2 transverse field two-leg Ising ladder with nearest-neighbor exchange and plaquette four-spin interaction $J_{4}$ is studied analytically and numerically with the density matrix renormalization group approach. The quantum phase…

Strongly Correlated Electrons · Physics 2022-02-09 J. C. Xavier , R. G. Pereira , M. E. S. Nunes , J. A. Plascak
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