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We develop a systematic and efficient approach for numerically solving the non-Markovian quantum state diffusion equations for open quantum systems coupled to an environment up to arbitrary orders of noises or coupling strengths. As an…

Quantum Physics · Physics 2014-08-29 Zeng-Zhao Li , Cho-Tung Yip , Hai-Yao Deng , Mi Chen , Ting Yu , J. Q. You , Chi-Hang Lam

The non-Markovian dynamics of a three-level quantum system coupled to a bosonic environment is a difficult problem due to the lack of an exact dynamic equation such as a master equation. We present for the first time an exact quantum…

Quantum Physics · Physics 2010-12-27 Jun Jing , Ting Yu

We provide a rigorous justification of various kinetic regimes exhibited by the nonlinear Schr\"{o}dinger equation with an additive stochastic forcing and a viscous dissipation. The importance of such damped-driven models stems from their…

Analysis of PDEs · Mathematics 2026-02-19 Ricardo Grande , Zaher Hani

Resonance fluorescence spectra of a driven Kerr nonlinear resonator is investigated both theoretically and experimentally. When the Kerr nonlinear resonator is driven strongly such that the induced Rabi frequency is comparable to or larger…

We study quantum dynamics of Grover's adiabatic search algorithm with the equivalent two-level system. Its adiabatic and non-adiabatic evolutions are visualized as trajectories of Bloch vectors on a Bloch sphere. We find the change in the…

Quantum Physics · Physics 2020-05-28 Sangchul Oh , Sabre Kais

We investigate the time-dependent, coherent, and dissipative dynamics of bound particles in single multilevel quantum dots in the presence of sequential tunnelling transport. We focus on the nonequilibrium regime where several channels are…

Mesoscale and Nanoscale Physics · Physics 2010-02-11 Eduardo Vaz , Jordan Kyriakidis

While the coherent control of two level quantum systems ---qubits--- is now standard, their continuum electronic equivalents ---flying qubits--- are much less developed. A first step in this direction has been achieved in DC interferometry…

Mesoscale and Nanoscale Physics · Physics 2018-11-21 Benoit Rossignol , Thomas Kloss , Pacome Armagnat , Xavier Waintal

The Rabi model considers a two-level system (or spin-1/2) coupled to a quantized harmonic oscillator and describes the simplest interaction between matter and light. The recent experimental progress in solid-state circuit quantum…

Mesoscale and Nanoscale Physics · Physics 2014-08-20 Loïc Henriet , Zoran Ristivojevic , Peter P. Orth , Karyn Le Hur

We experimentally study the transient dynamics of a dissipative superconducting qubit under periodic drive towards its nonequilibrium steady states. The corresponding stroboscopic evolution, given by the qubit states at times equal to…

Because of their small decay rates, nanomechanical modes enable studying strongly nonlinear phenomena for a moderately strong resonant driving. Here we study the response of a driven resonator to an additional probe field. We experimentally…

Mesoscale and Nanoscale Physics · Physics 2021-01-11 J. S. Ochs , M. Seitner , M. I. Dykman , E. M. Weig

We analytically investigate the nonlinear response of a damped doubly clamped nanomechanical beam under static longitudinal compression which is excited to transverse vibrations. Starting from a continuous elasticity model for the beam, we…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. Peano , M. Thorwart

We have studied the dissipative dynamics of a driven electronic spin trapped in a quantum dot. We consider the dissipative mechanism as due to the indirect coupling of the electronic spin to acoustic phonons via the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Frederico Brito , Harry Westfahl , Amir O. Caldeira , Gilberto Medeiros-Ribeiro

We show that the counter-rotating terms of the dispersive qubit-cavity Rabi model can produce relatively large and nonmonotonic Bloch-Siegert shifts in the cavity frequency as the system is driven through a quantum-to-classical transition.…

Mesoscale and Nanoscale Physics · Physics 2017-08-04 I. Pietikäinen , S. Danilin , K. S. Kumar , A. Vepsäläinen , D. S. Golubev , J. Tuorila , G. S. Paraoanu

For many implementations of quantum computing, 1/f and other types of broad-spectrum noise are an important source of decoherence. An important step forward would be the ability to back out the characteristics of this noise from qubit…

Quantum Physics · Physics 2011-07-15 Robert Joynt , Dong Zhou , Qiang-Hua Wang

We study the approach to the adiabatic limit in periodically driven systems. Specifically focusing on a spin-1/2 in a magnetic field we find that, when the parameters of the Hamiltonian lead to a quasi-degeneracy in the Floquet spectrum,…

Quantum Physics · Physics 2017-10-18 Angelo Russomanno , Giuseppe E. Santoro

The quantum dynamics of open many-body systems poses a challenge for computational approaches. Here we develop a stochastic scheme based on the positive P phase-space representation to study the nonequilibrium dynamics of coupled spin-boson…

Quantum Physics · Physics 2015-06-11 Stephan Mandt , Darius Sadri , Andrew A. Houck , Hakan E. Türeci

We investigate a long time asymptotic state of periodically driven open quantum systems analytically. The model we consider in this paper is a free fermionic system coupled to an energy and particle reservoir. We clarify some generic…

Statistical Mechanics · Physics 2016-11-14 Koudai Iwahori , Norio Kawakami

Resonant driving enables coherent control of quantum systems, including single and coupled qubits. From a complementary perspective, transitions of a quantum system can be exploited for the detection of microwave photons. In this work, we…

Quantum Physics · Physics 2026-03-31 O. A. Ilinskaya , S. N. Shevchenko

We present two complementary approaches to the GKSL equation for an open qubit. The first, based on linearity, yields solutions illustrated by mixed states trajectories in the Bloch ball, including non-random asymptotic fixed points, and…

Quantum Physics · Physics 2025-12-01 Alan C. Maioli , Evaldo M. F. Curado , Jean-Pierre Gazeau , Tomoi Koide

We study the dynamics of a generalization of quantum coin walk on the line which is a natural model for a diffusion modified by quantum or interference effects. In particular, our results provide surprisingly simple explanations to…

Quantum Physics · Physics 2007-05-23 A. Wojcik , T. Luczak , P. Kurzynski , A. Grudka , M. Bednarska