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We devise a generic and experimentally accessible recipe to prepare boundary states of topological or nontopological quantum systems through an interplay between coherent Hamiltonian dynamics and local dissipation. Intuitively, our recipe…

Mesoscale and Nanoscale Physics · Physics 2023-12-13 Fan Yang , Paolo Molignini , Emil J. Bergholtz

We derive stochastic master equations for a quantum system interacting with a Bose field prepared in a superposition of continuous-mode coherent states. To determine a conditional evolution of the quantum system we use a collision model…

Quantum Physics · Physics 2020-02-11 Anita Dabrowska

Simulating the dynamics of open quantum systems is essential in achieving practical quantum computation and understanding novel nonequilibrium behaviors. However, quantum simulation of a many-body system coupled to an engineered reservoir…

We study a two-state quantum system with a non linearity intended to describe interactions with a complex environment, arising through a non local coupling term. We study the stability of particular solutions, obtained as constrained…

Analysis of PDEs · Mathematics 2023-11-30 Thierry Goudon , Simona Rota Nodari

Modeling open quantum dynamics without full knowledge of the system Hamiltonian or noise model is a key challenge in quantum control and quantum state estimation. We introduce an Augmented Quantum Neural Ordinary Differential Equation…

Quantum Physics · Physics 2025-09-10 Shahid Qamar , Rana Imran Mushtaq , Bo Li , Ho-Kin Tang

Linear dissipative differential equation is a fundamental model for a large number of physical systems, such as quantum dynamics with non-Hermitian Hamiltonian, open quantum system dynamics, diffusion process and damped system. In this…

Quantum Physics · Physics 2025-08-22 Gengzhi Yang , Akwum Onwunta , Dong An

Open quantum systems evolving according to discrete-time dynamics are capable, unlike continuous-time counterparts, to converge to a stable equilibrium in finite time with zero error. We consider dissipative quantum circuits consisting of…

Quantum Physics · Physics 2017-07-11 Peter D. Johnson , Francesco Ticozzi , Lorenza Viola

The stochastic dissipative Schrodinger equation is derived for an open quantum system consisting of a sub-system able to exchange energy with a thermal reservoir. The resultant evolution of the wave function also gives the evolution of the…

Statistical Mechanics · Physics 2014-06-03 Phil Attard

We describe a generalization of the cluster-state model of quantum computation to continuous-variable systems, along with a proposal for an optical implementation using squeezed-light sources, linear optics, and homodyne detection. For…

We consider a driven damped anharmonic oscillator which classically leads to a bistable steady state and to hysteresis. The quantum counterpart for this system has an exact analytical solution in the steady state which does not display any…

Quantum Physics · Physics 2009-10-30 M. Rigo , G. Alber , F. Mota-Furtado , P. F. O'Mahony

New exact results about the nonequilibrium thermodynamics of open quantum systems at arbitrary timescales are obtained by considering all possible variations of initial conditions of a system, its environment, and correlations between them.…

Statistical Mechanics · Physics 2021-05-05 Paul M. Riechers , Mile Gu

We describe a method for initializing an ensemble of qubits in a pure ground state by applying collective cavity cooling techniques in the presence of local dephasing noise on each qubit. To solve the dynamics of the ensemble system we…

Quantum Physics · Physics 2016-03-02 Christopher J. Wood , David G. Cory

Motivated by the search for a quantum analogue of the macroscopic fluctuation theory, we study quantum spin chains dissipatively coupled to quantum noise. The dynamical processes are encoded in quantum stochastic differential equations.…

Statistical Mechanics · Physics 2018-04-20 Michel Bauer , Denis Bernard , Tony Jin

The issue of the thermalization of an isolated quantum system is addressed by considering a perfect gas confined by gravity and initially trapped above a certain height. As we are interested in the behavior of truly isolated systems, we…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Camalet

We propose an energy-driven stochastic master equation for the density matrix as a dynamical model for quantum state reduction. In contrast, most previous studies of state reduction have considered stochastic extensions of the Schr\"odinger…

Quantum Physics · Physics 2016-12-30 Dorje C. Brody , Lane P. Hughston

Recently, it has been demonstrated that an arbitrary linear quantum stochastic system can be realized as a cascade connection of simpler one degree of freedom quantum harmonic oscillators together with a direct interaction Hamiltonian which…

Quantum Physics · Physics 2010-10-21 Hendra I. Nurdin

Engineered dissipative reservoirs have the potential to steer many-body quantum systems toward correlated steady states useful for quantum simulation of high-temperature superconductivity or quantum magnetism. Using up to 49 superconducting…

Quantum Physics · Physics 2024-04-09 X. Mi , A. A. Michailidis , S. Shabani , K. C. Miao , P. V. Klimov , J. Lloyd , E. Rosenberg , R. Acharya , I. Aleiner , T. I. Andersen , M. Ansmann , F. Arute , K. Arya , A. Asfaw , J. Atalaya , J. C. Bardin , A. Bengtsson , G. Bortoli , A. Bourassa , J. Bovaird , L. Brill , M. Broughton , B. B. Buckley , D. A. Buell , T. Burger , B. Burkett , N. Bushnell , Z. Chen , B. Chiaro , D. Chik , C. Chou , J. Cogan , R. Collins , P. Conner , W. Courtney , A. L. Crook , B. Curtin , A. G. Dau , D. M. Debroy , A. Del Toro Barba , S. Demura , A. Di Paolo , I. K. Drozdov , A. Dunsworth , C. Erickson , L. Faoro , E. Farhi , R. Fatemi , V. S. Ferreira , L. F. Burgos E. Forati , A. G. Fowler , B. Foxen , E. Genois , W. Giang , C. Gidney , D. Gilboa , M. Giustina , R. Gosula , J. A. Gross , S. Habegger , M. C. Hamilton , M. Hansen , M. P. Harrigan , S. D. Harrington , P. Heu , M. R. Hoffmann , S. Hong , T. Huang , A. Huff , W. J. Huggins , L. B. Ioffe , S. V. Isakov , J. Iveland , E. Jeffrey , Z. Jiang , C. Jones , P. Juhas , D. Kafri , K. Kechedzhi , T. Khattar , M. Khezri , M. Kieferova , S. Kim , A. Kitaev , A. R. Klots , A. N. Korotkov , F. Kostritsa , J. M. Kreikebaum , D. Landhuis , P. Laptev , K. -M. Lau , L. Laws , J. Lee , K. W. Lee , Y. D. Lensky , B. J. Lester , A. T. Lill , W. Liu , A. Locharla , F. D. Malone , O. Martin , J. R. McClean , M. McEwen , A. Mieszala , S. Montazeri , A. Morvan , R. Movassagh , W. Mruczkiewicz , M. Neeley , C. Neill , A. Nersisyan , M. Newman , J. H. Ng , A. Nguyen , M. Nguyen , M. Y. Niu , T. E. OBrien , A. Opremcak , A. Petukhov , R. Potter , L. P. Pryadko , C. Quintana , C. Rocque , N. C. Rubin , N. Saei , D. Sank , K. Sankaragomathi , K. J. Satzinger , H. F. Schurkus , C. Schuster , M. J. Shearn , A. Shorter , N. Shutty , V. Shvarts , J. Skruzny , W. C. Smith , R. Somma , G. Sterling , D. Strain , M. Szalay , A. Torres , G. Vidal , B. Villalonga , C. V. Heidweiller , T. White , B. W. K. Woo , C. Xing , Z. J. Yao , P. Yeh , J. Yoo , G. Young , A. Zalcman , Y. Zhang , N. Zhu , N. Zobrist , H. Neven , R. Babbush , D. Bacon , S. Boixo , J. Hilton , E. Lucero , A. Megrant , J. Kelly , Y. Chen , P. Roushan , V. Smelyanskiy , D. A. Abanin

An open quantum system, whose time evolution is governed by a master equation, can be driven into a given pure quantum state by an appropriate design of the system-reservoir coupling. This points out a route towards preparing many body…

Quantum Physics · Physics 2009-05-18 S. Diehl , A. Micheli , A. Kantian , B. Kraus , H. P. Büchler , P. Zoller

We study the quantum dynamics generated by a non-Hermitian Hamiltonian subject to stochastic perturbations in its anti-Hermitian part, describing fluctuating gains and losses. The dynamics averaged over the noise is described by an…

Quantum Physics · Physics 2025-07-09 Pablo Martinez-Azcona , Aritra Kundu , Avadh Saxena , Adolfo del Campo , Aurelia Chenu

Ever since the insight spreaded that tailored dissipation can be employed to control quantum systems and drive them towards pure states, the field of non-equilibrium quantum mechanics gained remarkable momentum. So far research focussed on…

Quantum Physics · Physics 2015-07-31 Nicolai Lang , Hans Peter Büchler
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