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We consider a generalization of the spin-boson model in which two different two-level systems are coupled to an oscillator, under conditions where the oscillator energy is much less than the two-level system energies, and where the…

Quantum Physics · Physics 2009-11-13 Peter L. Hagelstein , Irfan U. Chaudhary

We study two-dimensional Ising spins, evolving through reinforcement learning using their state, action, and reward. The state of a spin is defined as whether it is in the majority or minority with its nearest neighbours. The spin updates…

Statistical Mechanics · Physics 2022-11-22 Pranay Bimal Sampat , Ananya Verma , Riya Gupta , Shradha Mishra

The method for calculating the isotropic exchange interactions in the paramagnetic phase is proposed. It is based on the mapping of the high-temperature expansion of the spin-spin correlation function calculated for the Heisenberg model…

Strongly Correlated Electrons · Physics 2016-11-09 O. M. Sotnikov , V. V. Mazurenko

We study the dynamical properties of the quantum Rabi model within a systematic expansion method. Based on the observation that the parity symmetry of the Rabi model is kept during the evolution of the states, we decompose the initial state…

Quantum Physics · Physics 2017-05-11 Binglu Hu , Huili Zhou , Shujie Chen , Gao Xianlong , Kelin Wang

We analyze the collective spin noise in interacting spin systems. General expressions are derived for the short time behaviour of spin systems with general spin-spin interactions, and we suggest optimum experimental conditions for the…

Quantum Physics · Physics 2009-11-07 Xiaoguang Wang , Anders S. Sorensen , Klaus Molmer

This paper deals with the study of the phase transition of the wave functions of a segregated two-component Bose-Einstein condensate under Rabi coupling. This yields a system of two coupled ODE's where the Rabi coupling is linear in the…

Analysis of PDEs · Mathematics 2018-12-04 Amandine Aftalion , Christos Sourdis

We construct a model of short-range interacting Ising spins on a translationally invariant two-dimensional lattice that mimics a reversible circuit that multiplies or factorizes integers, depending on the choice of boundary conditions. We…

Statistical Mechanics · Physics 2019-10-09 Lei Zhang , Stefanos Kourtis , Claudio Chamon , Eduardo R. Mucciolo , Andrei E. Ruckenstein

We consider two $s=1/2$ spins with Heisenberg coupling and a monochromatic, circularly polarized magnetic field acting only onto one of the two spins. This system turns out to be analytically solvable. Also the statistical distribution of…

Quantum Physics · Physics 2020-06-24 Heinz-Jürgen Schmidt

We explore the long-time dynamics of Rabi model in a driven-dissipative setting and show that, as the atom-cavity coupling strength becomes larger than the cavity frequency, a new time scale emerges. This time scale, much larger than the…

Quantum Physics · Physics 2017-03-22 Alexandre Le Boité , Myung-Joong Hwang , Martin B. Plenio

Motivated by the anisotropic interactions between fish, we implement spatially anisotropic and therefore non-reciprocal interactions in the 2D Ising model. First, we show that the model with non-reciprocal interactions alters the system…

Soft Condensed Matter · Physics 2023-05-10 Daniel S. Seara , Akash Piya , A. Pasha Tabatabai

Using extended coherent states, an analytically exact study has been carried out for the quantum Rabi model with two equivalent qubits. Compact transcendental functions of one variable have been derived leading to exact solutions. The…

Quantum Physics · Physics 2015-06-18 Hui Wang , Shu He , Liwei Duan , Yang Zhao , Qing-Hu Chen

Realizing optical analogues of quantum phenomena in atomic, molecular, or condensed matter physics has underpinned a range of photonic technologies. Rabi splitting is a quantum phenomenon induced by a strong interaction between two quantum…

Optics · Physics 2024-03-07 David J. Moss

We investigate properties of the diffusive motion of an interface in the two-dimensional Ising model in equilibrium or nonequilibrium situations. We focused on the relation between the power spectrum of a time sequence of spins and…

Statistical Mechanics · Physics 2018-06-20 Yusuke Masumoto , Shinji Takesue

The one-dimensional extended isotropic XY model (s=1/2) in a transverse field with uniform long-range interactions among the \textit{z} components of the spin is considered. The model is exactly solved by introducing the gaussian and…

Statistical Mechanics · Physics 2009-12-11 F. G. Ribeiro , J. P. de Lima , L. L. Goncalves

The efficient preparation of scalable multipartite entanglement is a central goal in the development of next-generation quantum devices. In this work, we show that the so-called ``twist-and-turn" (TaT) dynamics for interacting spin…

Quantum Physics · Physics 2025-07-14 Tommaso Roscilde , Meenu Kumari , Alexandre Cooper , Fabio Mezzacapo

We investigate the nonequilibrium steady state of the anisotropic open quantum Rabi model, which exhibits first-order and second-order dissipative phase transitions upon varying the degree of anisotropy between the coupling strengths of…

Quantum Physics · Physics 2024-08-01 Guitao Lyu , Korbinian Kottmann , Martin B. Plenio , Myung-Joong Hwang

In this paper, we analyze the quantum criticality of the Rabi-Stark model at finite ratios of the qubit and cavity frequencies in terms of the energy gap, the order parameter, as well as the fidelity, if the Stark coupling strength is the…

Quantum Physics · Physics 2021-01-01 Xiang-You Chen , You-Fei Xie , Qing-Hu Chen

Here we use perturbation techniques based on the averaging method to investigate Rabi oscillations in cw and pulse-driven two-level systems (TLS's). By going beyond the rotating-wave approximation, especifically to second-order in…

Quantum Physics · Physics 2015-07-21 Adriano A. Batista

The dynamics of the spins in the Ising model are analyzed using a virtual walk scenario. The system is quenched from a very high temperature to a lower one using the Glauber scheme in one and two dimensions. A walk is associated with each…

Statistical Mechanics · Physics 2026-03-11 Amit Pradhan , Parongama Sen , Sagnik Seth

Rabi oscillations describe the interaction of a two-level system with a rotating electromagnetic field. As such, they serve as the principle method for manipulating quantum bits. By using a combination of femtosecond laser pulses and…

Mesoscale and Nanoscale Physics · Physics 2016-05-16 Amir Capua , Charles Rettner , See-Hun Yang , Stuart S. P. Parkin