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Despite of simplicity of the transverse antiferromagnetic Ising model with a uniform longitudinal field, its phases and involved quntum phase transitions (QPTs) are nontrivial in comparison to its ferromagnetic counterpart. For example,…

统计力学 · 物理学 2025-11-19 Yun-Tong Yang , Hong-Gang Luo

The equilibrium phase behavior of microphase-forming systems is notoriously difficult to obtain because of the extended metastability of their modulated phases. In this paper we present a systematic simulation methodology for studying…

统计力学 · 物理学 2015-03-18 Kai Zhang , Patrick Charbonneau

The classification of phase transitions is a central and challenging task in condensed matter physics. Typically, it relies on the identification of order parameters and the analysis of singularities in the free energy and its derivatives.…

In this paper, we study the entanglement between two-neighboring sites and the rest of the system in a simple quantum phase transition of 1D transverse field Ising model. We find that the entanglement shows interesting scaling and singular…

量子物理 · 物理学 2009-11-13 Shi-Quan Su , Jun-Liang Song , Shi-Jian Gu

We introduce transverse ferromagnetic interactions, in addition to a simple transverse field, to quantum annealing of the random-field Ising model to accelerate convergence toward the target ground state. The conventional approach using…

量子物理 · 物理学 2007-06-13 Sei Suzuki , Hidetoshi Nishimori , Masuo Suzuki

Describing and understanding the consequences of competing interactions remains profoundly challenging in both classical and quantum systems, as it is difficult to identify suitable order parameters, thereby hindering the characterization…

统计力学 · 物理学 2025-11-20 Yun-Tong Yang , Fu-Zhou Chen , Hong-Gang Luo

We perform a quantum simulation of the Ising model with a transverse field using a collection of three trapped atomic ion spins. By adiabatically manipulating the Hamiltonian, we directly probe the ground state for a wide range of fields…

The quantum ANNNI chain in a transverse field is investigated by means of the bosonization approach in the limit of large next-nearest neighbor interaction. In this regime, this model can be viewed as a weakly coupled two-leg zigzag ladder…

凝聚态物理 · 物理学 2009-11-07 Dave Allen , Patrick Azaria , Philippe Lecheminant

We consider the ground-state properties of the s=1/2 Ising chain in a transverse field which varies regularly along the chain having a period of alternation 2. Such a model, similarly to its uniform counterpart, exhibits quantum phase…

统计力学 · 物理学 2007-05-23 Oleg Derzhko , Taras Krokhmalskii

The quantum phase transitions provide a paradigm for studying collective quantum phenomena that are a result of competing non-commuting interactions. This paper will study the ground state properties and quantum critical dynamics of the…

量子物理 · 物理学 2026-01-27 Rudraksh Sharma

Fidelity approach to quantum phase transitions uses the overlap between ground states of the system to gain some information about its quantum phases. Such an overlap is called fidelity. We illustrate how this approach works in the one…

量子物理 · 物理学 2015-09-16 Bogdan Damski

The classification of phases and the detection of phase transitions are central and challenging tasks in diverse fields. Within physics, it relies on the identification of order parameters and the analysis of singularities in the free…

Despite the fact that a complete theoretical description of critical phenomena in connection with phase transitions has been well-established through the renormalization group theory, the microscopic nature of the phase transitions remains…

统计力学 · 物理学 2025-11-07 Yun-Tong Yang , Fu-Zhou Chen , Hong-Gang Luo

In this manuscript, we explore the intersection of QML and TN in the context of the one-dimensional ANNNI model with a transverse field. The study aims to concretely connect QML and TN by combining them in various stages of algorithm…

强关联电子 · 物理学 2024-02-20 M. Cea , M. Grossi , S. Monaco , E. Rico , L. Tagliacozzo , S. Vallecorsa

The phase transitions in the transverse field Ising model in a competing spatially modulated (periodic and oscillatory) longitudinal field are studied numerically. There is a multiphase point in absence of the transverse field where the…

统计力学 · 物理学 2016-08-31 Parongama Sen

Motivated by an exact mapping between equilibrium properties of a 1-dimensional chain of quantum Ising spins in a transverse field (the transverse field Ising (TFI) model) and a 2-dimensional classical array of particles in double-well…

斑图形成与孤子 · 物理学 2024-08-12 Mithun Thudiyangal , Panayotis G. Kevrekidis , Avadh Saxena , Alan R. Bishop

In this paper we consider the quantum phase transition in the Ising model in the presence of a transverse field in one, two and three dimensions from a multi-partite entanglement point of view. Using \emph{exact} numerical solutions, we are…

量子物理 · 物理学 2010-12-21 Afshin Montakhab , Ali Asadian

We study a 1D-Quantum Ising Model in transverse field driven out of equilibrium by performing a composite quantum quench to deduce the asymptotic properties of the transverse magnetization stationary state via the analysis of the spectral…

统计力学 · 物理学 2019-11-06 Giulia Piccitto , Alessandro Silva

We study a stacked triangular lattice Ising model with both intra- and inter-plane antiferromagnetic interactions in a field, by Monte Carlo simulation. We find only one phase transition from a paramagnetic to a partially disordered phase,…

统计力学 · 物理学 2018-05-07 M. Žukovič , M. Borovský , A. Bobák

An axial next-nearest-neighbor Ising (ANNNI) model is studied by using the non-equilibrium relaxation method. We find that the incommensurate stripe phase between the ordered phase and the paramagnetic phase is negligibly narrow or may…

统计力学 · 物理学 2009-11-07 Takashi Shirahata , Tota Nakamura
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