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We consider non-equilibrium phenomena in a very simple model that displays a zero-temperature first-order phase transition. The quantum Ising model with a four-spin exchange is adopted as a general representative of first-order quantum…

Strongly Correlated Electrons · Physics 2016-03-30 Lorenzo Del Re , Michele Fabrizio , Erio Tosatti

We study the zero temperature properties of the sub-Ohmic spin-boson model with quadratic spin-boson coupling. This model describes experimental set ups at the optimal working point where the linear-coupling between the qubit (spin) and the…

Mesoscale and Nanoscale Physics · Physics 2018-11-19 Da-Chuan Zheng , Li Wan , Ning-Hua Tong

The paper studies spin-orbit interaction (i.e. the effect the spin has on the particle's trajectory in a magnetic field) as a model of quantum computation. The two-level spin quantum system is examined using the stochastic mechanics…

Mathematical Physics · Physics 2011-02-11 Gerasimos G. Rigatos

Non-equilibrium quantum many-body systems, which are difficult to study via classical computation, have attracted wide interest. Quantum simulation can provide insights into these problems. Here, using a programmable quantum simulator with…

Some models allowing explicit calculation of periodic instantons and evaluation of their action are studied with regard to transitions from classical to quantum behaviour as the temperature is lowered and tunneling sets in. It is shown that…

Condensed Matter · Physics 2009-10-31 J. -Q. Liang , H. J. W. Mueller-Kirsten , D. K. Park , F. Zimmerschied

In this work we define a formal notion of a quantum phase crossover for certain Bethe ansatz solvable models. The approach we adopt exploits an exact mapping of the spectrum of a many-body integrable system, which admits an exact Bethe…

Quantum Physics · Physics 2007-05-23 Clare Dunning , Katrina E. Hibberd , Jon Links

We introduce a finite-connectivity ferromagnetic model with a three-spin interaction which has a crystalline (ferromagnetic) phase as well as a glass phase. The model is not frustrated, it has a ferromagnetic equilibrium phase at low…

Disordered Systems and Neural Networks · Physics 2009-11-07 S. Franz , M. Mezard , F. Ricci-Tersenghi , M. Weigt , R. Zecchina

Quantum spin liquids may be considered "quantum disordered" ground states of spin systems, in which zero point fluctuations are so strong that they prevent conventional magnetic long range order. More interestingly, quantum spin liquids are…

Strongly Correlated Electrons · Physics 2017-02-21 Lucile Savary , Leon Balents

Quantum simulation enables study of many-body systems in non-equilibrium by mapping to a controllable quantum system, providing a new tool for computational intractable problems. Here, using a programmable quantum processor with a chain of…

In this work, the cross derivative of the Gibbs free energy, initially proposed for phase transitions in classical spin models [Phys. Rev. B 101, 165123 (2020)], is extended for quantum systems. We take the spin-1 XXZ chain with…

Strongly Correlated Electrons · Physics 2026-03-19 H. Y. Wu , Yu-Chin Tzeng , Z. Y. Xie , K. Ji , J. F. Yu

We study the quantum phase transitions (QPTs) in the Kitaev spin model on a triangle-honeycomb lattice. In addition to the ordinary topological QPTs between Abelian and non-Abelian phases, we find new QPTs which can occur between two phases…

Statistical Mechanics · Physics 2015-05-19 Xiao-Feng Shi , Yan Chen , J. Q. You

Quantum phase transition in the one-dimensional period-two and uniform quantum compass model are studied by using the pseudo-spin transformation method and the trace map method. The exact solutions are presented, the fidelity, the…

Strongly Correlated Electrons · Physics 2009-11-13 Ke-Wei Sun , Yu-Yu Zhang , Qing-Hu Chen

Simple models of interacting spins play an important role in physics. They capture the properties of many magnetic materials, but also extend to other systems, such as bosons and fermions in a lattice, systems with gauge fields, high-Tc…

This thesis uses a quantity that is defined and justified by information theory -- mutual information -- to examine models of condensed matter systems. More precisely, it studies models which are made up out of ferromagnetically interacting…

Quantum Physics · Physics 2013-03-19 Johannes Wilms

We study the dynamics of lattice models of quantum spins one-half, driven by a coherent drive and subject to dissipation. Generically the meanfield limit of these models manifests multistable parameter regions of coexisting steady states…

Quantum Physics · Physics 2020-02-06 Haggai Landa , Marco Schiró , Grégoire Misguich

The dynamic phase transitions have been studied, within a mean-field approach, in the kinetic spin-1 Ising model Hamiltonian with arbitrary bilinear and biquadratic pair interactions in the presence of a time varying (sinusoidal) magnetic…

Statistical Mechanics · Physics 2009-11-11 Mustafa Keskin , Osman Canko , Ersin Kantar

We present a platform for the simulation of quantum magnetism with full control of interactions between pairs of spins at arbitrary distances in one- and two-dimensional lattices. In our scheme, two internal atomic states represent a…

Quantum Physics · Physics 2016-09-02 C. -L. Hung , A. González-Tudela , J. I. Cirac , H. J. Kimble

We investigate the anisotropic coupled-top model, which describes the interactions between two large spins along both $x-$ and $y-$directions. By tuning anisotropic coupling strengths along distinct directions, we can manipulate the…

Strongly Correlated Electrons · Physics 2025-04-30 Wen-Jian Mao , Tian Ye , Liwei Duan , Yan-Zhi Wang

We apply a real-space block renormalization group approach to study the critical properties of the random transverse-field Ising spin chain with multispin interactions. First we recover the known properties of the traditional model with…

Disordered Systems and Neural Networks · Physics 2025-03-25 Ferenc Iglói , Yu-Cheng Lin

Superradiant phase transition represents an important quantum phenomenon that shows the collective excitations based on the coupling between atoms and cavity modes. The spin-orbit coupling is another quantum effect which induced from the…

Quantum Gases · Physics 2021-05-26 Ying Lei , Shaoliang Zhang