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Quantum simulation offers a route to study open-system molecular dynamics in non-perturbative regimes by programming the interactions among electronic, vibrational, and environmental degrees of freedom on similar energy scales. Trapped-ion…

Embedding quantum dot circuits into microwave cavities has emerged as a novel platform for controlling photon emission statistics by electrical means. With such a circuit version of the Rabi model, we reveal previously undefined quantum…

Mesoscale and Nanoscale Physics · Physics 2025-04-14 Lei-Lei Nian , Yi-Cheng Wang , Jin-Yi Wang , Long Xiong , Bo Zheng , Jing-Tao Lü

The open quantum Rabi model describes a two-level system coupled to a harmonic oscillator. A Gaussian phase transition for the nonequilibrium steady states has been predicted when the bosonic mode is soft and subject to damping. We show…

Quantum Physics · Physics 2026-01-28 Mingyu Kang , Yikang Zhang , Kenneth R. Brown , Thomas Barthel

Digital quantum computers have the potential to simulate complex quantum systems. The spin-boson model is one of such systems, used in disparate physical domains. Importantly, in a number of setups, the spin-boson model is open, i.e. the…

Quantum Physics · Physics 2022-12-21 Andreas Burger , Leong Chuan Kwek , Dario Poletti

We introduce the cross-cavity quantum Rabi model describing the interaction of a single two-level system with two orthogonal boson fields and propose its quantum simulation by two-dimensional, bichromatic, first-sideband driving of a single…

Quantum Physics · Physics 2016-10-12 C. Huerta Alderete , B. M. Rodríguez-Lara

We investigate the driven quantum phase transition between the oscillating motion and the classical nearly free rotations of the Josephson pendulum coupled to a harmonic oscillator in the presence of dissipation. We refer to this as the…

Mesoscale and Nanoscale Physics · Physics 2019-06-25 I. Pietikäinen , J. Tuorila , D. S. Golubev , G. S. Paraoanu

Dynamical maps describe general transformations of the state of a physical system, and their iteration can be interpreted as generating a discrete time evolution. Prime examples include classical nonlinear systems undergoing transitions to…

Quantum Physics · Physics 2013-11-19 P. Schindler , M. Müller , D. Nigg , J. T. Barreiro , E. A. Martinez , M. Hennrich , T. Monz , S. Diehl , P. Zoller , R. Blatt

The quantum Rabi model (QRM), composed of a qubit interacting with a quantized photonic field, is a cornerstone of quantum optics. The QRM with dominant unitary dynamics has been demonstrated in circuit quantum electrodynamics (QED)…

Quantum Physics · Physics 2025-06-23 Wen Ning , Ri-Hua Zheng , Jia-Hao Lü , Ken Chen , Xin Zhu , Fan Wu , Zhen-Biao Yang , Shi-Biao Zheng

We discuss a new analytical approach to real-time evolution in quantum many-body systems. Our approach extends the framework of continuous unitary transformations such that it amounts to a novel solution method for the Heisenberg equations…

Strongly Correlated Electrons · Physics 2009-11-13 A. Hackl , S. Kehrein

The spin-boson model, involving spins interacting with a bath of quantum harmonic oscillators, is a widely used representation of open quantum systems. Trapped ions present a natural platform for simulating the quantum dynamics of such…

Quantum simulation of non-Markovian open quantum dynamics is essential but challenging for standard quantum computers due to their non-Hermitian nature, leading to non-unitary evolution, and the limitations of available quantum resources.…

Quantum Physics · Physics 2026-01-12 Yukai Guo , Xing Gao

Boson Sampling is a task that is conjectured to be computationally hard for a classical computer, but which can be efficiently solved by linear-optical interferometers with Fock state inputs. Significant advances have been reported in the…

Quantum Physics · Physics 2023-04-14 Nicolò Spagnolo , Daniel J. Brod , Ernesto F. Galvão , Fabio Sciarrino

We study the dissipative Rabi model under deep strong far-off-resonant driving when the driving frequency and strength exceed significantly the qubit transition frequency. We find analytical expressions for the density matrix, the…

Mesoscale and Nanoscale Physics · Physics 2017-05-05 A. P. Saiko , S. A. Markevich , R. Fedaruk

We present a general approach to the classical dynamical systems simulation. This approach is based on classical systems extension to quantum states. The proposed theory can be applied to analysis of multiple (including non-Hamiltonian)…

Chaotic Dynamics · Physics 2019-06-18 Yu. I. Bogdanov , N. A. Bogdanova , D. V. Fastovets , V. F. Lukichev

Superconducting circuits are currently developed as a versatile platform for the exploration of many-body physics, by building on non-linear elements that are often idealized as two-level qubits. A classic example is given by a charge qubit…

Mesoscale and Nanoscale Physics · Physics 2021-12-20 Kuljeet Kaur , Théo Sépulcre , Nicolas Roch , Izak Snyman , Serge Florens , Soumya Bera

The simulation of quantum processes is a key goal for the grand programme aiming at grounding quantum technologies as the way to explore complex phenomena that are inaccessible through standard, classical calculators. Some interesting steps…

Quantum Physics · Physics 2013-06-12 Andrea Chiuri , Chiara Greganti , Laura Mazzola , Mauro Paternostro , Paolo Mataloni

The nonequilibrium dynamics of correlated charge transfer along a one-dimensional chain in presence of a phonon environment is investigated within a dissipative Hubbard model. For this generalization of the ubiquitous spin-boson model the…

Statistical Mechanics · Physics 2009-11-11 Lothar Muehlbacher , Joachim Ankerhold

We develop a realistic model of Rabi oscillations in a quantum-dot photodiode. Based in a multi-exciton density matrix formulation we show that for short pulses the two-level models fails and higher levels should be taken into account. This…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. M. Villas-Boas , Sergio E. Ulloa , A. O. Govorov

We introduce a computational framework for simulating non-adiabatic vibronic dynamics on circuit quantum electrodynamics (cQED) platforms. Our approach leverages hybrid oscillator-qubit quantum hardware with mid-circuit measurements and…

Quantum Physics · Physics 2025-10-27 Nam P. Vu , Daniel Dong , Xiaohan Dan , Ningyi Lyu , Victor Batista , Yuan Liu

Systems of interacting quantum spins show a rich spectrum of quantum phases and display interesting many-body dynamics. Computing characteristics of even small systems on conventional computers poses significant challenges. A quantum…