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The quantum master equation is a widespread approach to describing open quantum system dynamics. In this approach, the effect of the environment on the system evolution is entirely captured by the dynamical generator, providing a compact…

Quantum Physics · Physics 2018-06-27 Jan Kolodynski , Jonatan Bohr Brask , Marti Perarnau-Llobet , Bogna Bylicka

Anisotropic quantum Rabi model is a generalization of quantum Rabi model, which allows its rotating and counter-rotating terms to have two different coupling constants. It provides us with a fundamental model to understand various physical…

Quantum Physics · Physics 2019-03-18 Gangcheng Wang , Ruoqi Xiao , H. Z. Shen , Chunfang Sun , Kang Xue

Reservoir engineering has proven to be a practical approach to control open quantum systems, preserving quantum coherence by appropriately manipulating the reservoir and system-reservoir interactions. In this context, for systems comprised…

We introduce a scalable variational method for simulating the dynamics of interacting open quantum bosonic systems deep in the quantum regime. The method is based on a multi-dimensional Wigner phase-space representation and employs a…

Quantum Physics · Physics 2025-07-21 Jacopo Tosca , Francesco Carnazza , Luca Giacomelli , Cristiano Ciuti

We provide a detailed formulation of the recently proposed variational approach [Y. Ashida et al., Phys. Rev. Lett. 121, 026805 (2018)] to study ground-state properties and out-of-equilibrium dynamics for generic quantum spin-impurity…

Strongly Correlated Electrons · Physics 2018-07-13 Yuto Ashida , Tao Shi , Mari Carmen Bañuls , J. Ignacio Cirac , Eugene Demler

Based on our recently developed quantum transport theory in term of an exact master equation, the corresponding particle-number resolved ($n$-resolved) master equation and the related shot noise spectrum formalism covering the full…

Mesoscale and Nanoscale Physics · Physics 2012-06-12 Jinshuang Jin , Wei-Min Zhang , Xin-Qi Li , YiJing Yan

A versatile and efficient variational approach is developed to solve in- and out-of-equilibrium problems of generic quantum spin-impurity systems. Employing the discrete symmetry hidden in spin-impurity models, we present a new canonical…

Strongly Correlated Electrons · Physics 2018-07-13 Yuto Ashida , Tao Shi , Mari Carmen Bañuls , J. Ignacio Cirac , Eugene Demler

Multi-qubit quantum Rabi model, which is a fundamental model describing light-matter interaction, plays an important role in various physical systems. In this paper, we propose a theoretical method to simulate multi-qubit quantum Rabi model…

Quantum Physics · Physics 2019-02-27 Jialun Li , Gangcheng Wang , Ruoqi Xiao , Chunfang Sun , Chunfeng Wu , Kang Xue

Variational quantum metrology represents a powerful tool for optimizing generic estimation strategies, combining the principles of variational optimization with the techniques of quantum metrology. Such optimization procedures result…

The dynamics of driven spin boson model is studied analytically by means of the perturbation approach based on a unitary transformation. We gave the analytical expression for the population difference and coherence of the two level system.…

Materials Science · Physics 2009-11-13 Xiufeng Cao , Hang Zheng

We present a framework for the realization of dissipative evolutions of spin-boson models, including multiphoton exchange dynamics, as well as nonlinear transition rates. Our approach is based on the implementation of a generalized version…

Quantum Physics · Physics 2019-03-04 Ricardo Puebla , Jorge Casanova , Oussama Houhou , Enrique Solano , Mauro Paternostro

We outline a non-perturbative approach for simulating the behavior of open quantum systems interacting with a bosonic environment defined by a generalized spectral density function. The method is based on replacing the environment by a set…

Quantum Physics · Physics 2021-08-13 Graeme Pleasance , Francesco Petruccione

We analyze the strong-coupling dynamics of a driven harmonic oscillator whose energy is modulated by a continuum of other bosonic modes. This type of system-bath interaction appears, for example, in optomechanical or equivalent circuit QED…

Quantum Physics · Physics 2019-04-05 Y. Minoguchi , P. Kirton , P. Rabl

The interaction among the components of a hybrid quantum system is often neglected when considering the coupling of these components to an environment. However, if the interaction strength is large, this approximation leads to unphysical…

We introduce a variational hybrid classical-quantum algorithm to simulate the Lindblad master equation and its adjoint for time-evolving Markovian open quantum systems and quantum observables. Our method is based on a direct representation…

Quantum Physics · Physics 2023-05-19 Tasneem Watad , Netanel H. Lindner

The dynamics of arbitrary-order quantum correlations in a cavity magnon-polariton system are investigated based on the quantum master equation in the coherent state representation. The phenomena of Rabi-like oscillation and level repulsion…

Quantum Physics · Physics 2021-10-25 Guogan Zhao , Yong Wang , X. -F. Qian

We study the dynamic behaviour of a quantum two-level system with periodically varying parameters by solving the master equation for the density matrix. Two limiting cases are considered: multiphoton Rabi oscillations and Landau-Zener…

Superconductivity · Physics 2011-07-26 S. N. Shevchenko , A. S. Kiyko , A. N. Omelyanchouk , W. Krech

A path-integral approach to quantum acoustics is developed here. In contrast to the commonly utilized particle perspective, this emerging field brings forth a long neglected but essential wave paradigm for lattice vibrations. Within the…

Quantum Physics · Physics 2025-05-19 Joost V. de Nijs , Anton M. Graf , Eric J. Heller , Joonas Keski-Rahkonen

We consider a nonstationary circuit QED system described by the quantum Rabi model, in which an artificial two-level atom with a tunable transition frequency is coupled to a single-mode resonator. We focus on regimes where the external…

Quantum Physics · Physics 2025-08-15 A. P. Costa , H. R. Schelb , A. V. Dodonov

Rabi oscillations typify the inherent nonlinearity of optical excitations in quantum dots. Using an integral kernel formulation to solve the 3D Maxwell-Bloch equations in ensembles of up to $10^4$ quantum dots, we observe features in Rabi…

Atomic and Molecular Clusters · Physics 2017-09-13 Connor Glosser , B. Shanker , Carlo Piermarocchi