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Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos [PDF]
PRX Quantum, 2023 We develop a theory of symmetry in open quantum systems. Using the operator-state mapping, we characterize symmetry of Liouvillian superoperators for the open quantum dynamics by symmetry of operators in the double Hilbert space and apply the 38-fold ...
Kohei Kawabata +4 more
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Dissipation induced localization-delocalization transition in flat band systems [PDF]
iScienceSummary: The interplay between dissipation and localization in quantum systems has garnered significant attention due to its potential to manipulate transport properties and induce phase transitions.
Mingdi Xu +3 more
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Physical Review Research, 2020 We study the quantum dynamics of many-body systems, in the presence of dissipation due to the interaction with the environment, under Kibble-Zurek (KZ) protocols in which one Hamiltonian parameter is slowly, and linearly in time, driven across the ...
Davide Rossini, Ettore Vicari
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The Observables of a Dissipative Quantum System [PDF]
Open Systems & Information Dynamics, 2012 A time-dependent product is introduced between the observables of a dissipative quantum system, that accounts for the effects of dissipation on observables and commutators. In the t → ∞ limit this yields a contracted algebra. This product can be transported back by duality on the space of states.
Dariusz Chruscinski +3 more
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Dissipative Properties of Quantum Systems [PDF]
Proceedings of the National Academy of Sciences, 1972 We consider the dissipative properties of large quantum systems from the point of view of kinetic theory. The existence of a nontrivial collision operator imposes restrictions on the possible collisional invariants of the system. We consider a model in which a discrete level is coupled to a set of quantum states and which, in the limit of a large ...
Grecos, A.P., Prigogine, Ilya
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From Geometry to Coherent Dissipative Dynamics in Quantum Mechanics
Quantum Reports, 2021 Starting from the geometric description of quantum systems, we propose a novel approach to time-independent dissipative quantum processes according to which energy is dissipated but the coherence of the states is preserved.
Hans Cruz-Prado +2 more
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Quantum Nonreciprocal Interactions via Dissipative Gauge Symmetry
PRX Quantum, 2023 One-way nonreciprocal interactions between two quantum systems are typically described by a cascaded quantum master equation, and rely on an effective breaking of time-reversal symmetry (TRS) as well as the balancing of coherent and dissipative ...
Yu-Xin Wang, Chen Wang, Aashish A. Clerk
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Quantum Ratchets in Dissipative Chaotic Systems [PDF]
Physical Review Letters, 2005 Using the method of quantum trajectories we study a quantum chaotic dissipative ratchet appearing for particles in a pulsed asymmetric potential in the presence of a dissipative environment. The system is characterized by directed transport emerging from a quantum strange attractor.
CARLO GG +3 more
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Quantum thermometry with a dissipative quantum Rabi system
The European Physical Journal Plus, 2022 Dissipative quantum Rabi System, a finite-component system composed of a single two-level atom interacting with an optical cavity field mode, exhibits a quantum phase transition, which can be exploited to greatly enhance the estimation precision of unitary parameters (frequency and coupling strength). Here, using the quantum Langevin equation, standard
Dong Xie, Chunling Xu, An Min Wang
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Dissipation-induced Liouville-Majorana modes in open quantum system
Physical Review Research, 2023 In open quantum systems, topological edge states rapidly lose coherence, making them unsuitable for topological quantum computation and quantum memory.
Xing-Shuo Xu +3 more
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