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We analyse a spin-1/2 chain with two-spin interactions which shown to exactly solvable by Lieb, Schultz and Mattis. We show that the model can be viewed as a generalised Kitaev model that is analytically solvable for all defect sectors. We…

Strongly Correlated Electrons · Physics 2015-06-12 Abhinav Saket , S. R. Hassan , R. Shankar

Quantum systems can exhibit a great deal of universality at low temperature due to the structure of ground states and the critical points separating distinct states. On the other hand, quantum time evolution of the same systems involves all…

Disordered Systems and Neural Networks · Physics 2014-06-11 Ronen Vosk , Ehud Altman

We study a finite spin-$\frac{1}{2}$ Ising chain with a spatially alternating transverse field of period 2. By means of a Jordan-Wigner transformation for even and odd sites, we are able to map it into a one-dimensional model of free…

Quantum Physics · Physics 2019-08-14 Adalberto D. Varizi , Raphael C. Drumond

We consider a weakly interacting quantum spin chain with random local interactions. We prove that many-body localization follows from a physically reasonable assumption that limits the extent of level attraction in the statistics of…

Mathematical Physics · Physics 2016-07-07 John Z Imbrie

The time-dependent Schrodinger equation of a many particle spin system consisting of an electron in a quantum dot interacting with the spins of the nuclei (N) in the dot due to hyperfine interaction is solved exactly for a given arbitrary…

Quantum Physics · Physics 2007-05-23 A. K. Rajagopal

The goal of this work is to build a dynamical theory of defects for quantum spin systems. A kinematic theory for an indefinite number of defects is first introduced exploiting distinguishable Fock space. Dynamics are then incorporated by…

Quantum Physics · Physics 2020-04-28 Jacob C. Bridgeman , Alexander Hahn , Tobias J. Osborne , Ramona Wolf

Quantum spin models with a large number of interaction partners per spin are frequently used to describe modern many-body quantum optical systems like arrays of Rydberg atoms, atom-cavity systems or trapped ion crystals. For theoretical…

Quantum Gases · Physics 2024-12-03 Benedikt Schneider , Ruben Burkard , Beatriz Olmos , Igor Lesanovsky , Björn Sbierski

We study a Yang-Baxter integrable quantum spin-1/2 chain with random interactions. The Hamiltonian is local and involves two and three-spin interactions with random parameters. We show that the energy eigenstates of the model are never…

Disordered Systems and Neural Networks · Physics 2018-09-27 Fabian H. L. Essler , Rianne van den Berg , Vladimir Gritsev

We study quenching dynamics of a one-dimensional transverse Ising chain with nearest neighbor antiferromagentic interactions in the presence of a longitudinal field which renders the model non-integrable. The dynamics of the spin chain is…

Statistical Mechanics · Physics 2015-10-07 Shraddha Sharma , Sei Suzuki , Amit Dutta

The new integrable quantum spin model is proposed. The model has a biaxial magnetic anisotropy of alternating coupling between spins together with multiple spin interactions. Our model gives the possibility to exactly find thermodynamic…

Strongly Correlated Electrons · Physics 2015-05-19 A. A. Zvyagin

The dissipative phase transitions in the open transverse and longitudinal Dicke-Ising model (DIM), which incorporates nearest-neighbor Ising-type spin interactions into the Dicke framework, are investigated within a mean-field approach and…

Quantum Physics · Physics 2026-02-11 Jun-Ling Wang , Jiong Li , Qing-Hu Chen

This dissertation studies spin squeezing, entanglement and decoherence in large ensembles of cold, trapped alkali atoms with hyperfine spin f interacting with optical fields. Restricting the state of each atom to a qutrit embedded in the…

Quantum Physics · Physics 2014-10-02 Leigh M. Norris

We develop a new fermionic path-integral formalism to analyze the phase diagram of open nonequilibrium systems. The formalism is applied to analyze an ensemble of two-level atoms interacting with a single-mode optical cavity, described by…

By means of finite size exact diagonalization we theoretically study the electronic many-body effects on the nearly flat-band structure with time-reversal symmetry in a checkerboard lattice model and identify the topological nature of two…

Strongly Correlated Electrons · Physics 2014-08-12 Wei Li , D. N. Sheng , C. S. Ting , Yan Chen

We address the quantum dynamics of a system composed of a qubit globally coupled to a many-body system characterized by short-range interactions. We employ a dynamic finite-size scaling framework to investigate the out-of-equilibrium…

Statistical Mechanics · Physics 2019-05-20 Davide Rossini , Ettore Vicari

We study the non-equilibrium phase diagram of a fully-connected Ising $p$-spin model, for generic $p>2$, and investigate its robustness with respect to the inclusion of spin-wave fluctuations, resulting from a ferromagnetic, short-range…

Statistical Mechanics · Physics 2024-02-01 Lorenzo Correale , Alessandro Silva

We study entanglement and spin squeezing in the ground state of three qubits interacting via the transverse Ising model. We give analytical results for the entanglement and spin squeezing, and a quantitative relation between the…

Quantum Physics · Physics 2016-09-08 XiaoGuang Wang

We present a detailed study of the finite one-dimensional quantum Ising chain in a transverse field in the presence of boundary magnetic fields coupled with the order-parameter spin operator. We consider two magnetic fields located at the…

Statistical Mechanics · Physics 2015-12-22 Massimo Campostrini , Andrea Pelissetto , Ettore Vicari

A parametrized spin model was recently introduced and intended for one-dimensional ferromagnets with a deformable Zeeman energy. This model is revisited and given more realistic interpretation in terms of a model for ferromagnetic systems…

Pattern Formation and Solitons · Physics 2007-05-23 Alain M. Dikande , J. P. Nguenang

Controlling quantum entanglement between parts of a many-body system is the key to unlocking the power of quantum information processing for applications such as quantum computation, high-precision sensing, and simulation of many-body…

Quantum Physics · Physics 2016-01-07 Y. -Y. Jau , A. M. Hankin , Tyler Keating , I. H. Deutsch , G. W. Biedermann