Asymptotic Floquet states of open quantum systems: the role of interaction
When a periodically modulated many-body quantum system is weakly coupled to an environment, the combined action of these temporal modulations and dissipation steers the system towards a state characterized by a time-periodic density operator. To resolve this asymptotic non-equilibrium state at strob...
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Published in | New journal of physics Vol. 19; no. 8; pp. 83011 - 83018 |
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Main Authors | , , , , |
Format | Journal Article |
Language | English |
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14.08.2017
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Abstract | When a periodically modulated many-body quantum system is weakly coupled to an environment, the combined action of these temporal modulations and dissipation steers the system towards a state characterized by a time-periodic density operator. To resolve this asymptotic non-equilibrium state at stroboscopic instants of time, we use the dissipative propagator over one period of modulations, 'Floquet map', and evaluate the stroboscopic density operator as its invariant. Particle interactions control properties of the map and thus the features of its invariant. In addition, the spectrum of the map provides insight into the system relaxation towards the asymptotic state and may help to understand whether it is possible (or not) to construct a stroboscopic time-independent Lindblad generator which mimics the action of the original time-dependent one. We illustrate the idea with a scalable many-body model, a periodically modulated Bose-Hubbard dimer. We contrast the relations between the interaction-induced bifurcations in a mean-field description with the numerically exact stroboscopic evolution and discuss the characteristics of the genuine quantum many-body state vs the characteristics of its mean-field counterpart. |
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AbstractList | When a periodically modulated many-body quantum system is weakly coupled to an environment, the combined action of these temporal modulations and dissipation steers the system towards a state characterized by a time-periodic density operator. To resolve this asymptotic non-equilibrium state at stroboscopic instants of time, we use the dissipative propagator over one period of modulations, 'Floquet map', and evaluate the stroboscopic density operator as its invariant. Particle interactions control properties of the map and thus the features of its invariant. In addition, the spectrum of the map provides insight into the system relaxation towards the asymptotic state and may help to understand whether it is possible (or not) to construct a stroboscopic time-independent Lindblad generator which mimics the action of the original time-dependent one. We illustrate the idea with a scalable many-body model, a periodically modulated Bose-Hubbard dimer. We contrast the relations between the interaction-induced bifurcations in a mean-field description with the numerically exact stroboscopic evolution and discuss the characteristics of the genuine quantum many-body state vs the characteristics of its mean-field counterpart. |
Author | Denisov, S Hänggi, P Ivanchenko, M Poletti, D Hartmann, M |
Author_xml | – sequence: 1 givenname: M surname: Hartmann fullname: Hartmann, M organization: University of Augsburg Institute of Physics, Universitätsstraße 1, D-86159 Augsburg, Germany – sequence: 2 givenname: D surname: Poletti fullname: Poletti, D organization: Engineering Product Development Pillar, Singapore University of Technology and Design , 8 Somapah Road, 487372, Singapore – sequence: 3 givenname: M surname: Ivanchenko fullname: Ivanchenko, M organization: Lobachevsky State University of Nizhny Novgorod Department of Applied Mathematics, Gagarina Av. 23, Nizhny Novgorod, 603950, Russia – sequence: 4 givenname: S surname: Denisov fullname: Denisov, S email: sergey.denisov@physik.uni-augsburg.de organization: Nanosystems Initiative Munich , Schellingstraße 4, D-80799 München, Germany – sequence: 5 givenname: P surname: Hänggi fullname: Hänggi, P organization: National University of Singapore Centre for Quantum Technologies, 3 Science Drive 2, 117543, Singapore |
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Snippet | When a periodically modulated many-body quantum system is weakly coupled to an environment, the combined action of these temporal modulations and dissipation... |
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SubjectTerms | 03.75.Gg 42.50.Dv Asymptotic properties asymptotic state Bifurcations Density Dimers Floquet states Invariants many-body open quantum system Particle interactions Physics Quantum theory Time dependence |
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Title | Asymptotic Floquet states of open quantum systems: the role of interaction |
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