Bethe ansatz approach for dissipation: exact solutions of quantum many-body dynamics under loss

Buča, Berislav; Booker, Cameron; Medenjak, Marko; Jaksch, Dieter

doi:10.1088/1367-2630/abd124

Cited by 50 publications

(29 citation statements)

References 119 publications

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“…Furthermore, in classical settings, there is no effective coherent dynamics between jumps that could drive the system toward an emergent dark state. The dark state observed here is further rather different in nature to the usual dark states that have been explored in several quantum systems [51][52][53][54][55], since it is not a frustration-free exact dark state for any system size (see, however, Ref. [56] for another example beyond this paradigm).…”

Section: (C)contrasting

confidence: 51%

Nonequilibrium Dark Space Phase Transition

Carollo

Lesanovsky

2022

Phys. Rev. Lett.

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We introduce the concept of dark space phase transition, which may occur in open many-body quantum systems where irreversible decay, interactions and quantum interference compete. Our study is based on a quantum many-body model, that is inspired by classical nonequilibrium processes which feature phase transitions into an absorbing state, such as epidemic spreading. The possibility for different dynamical paths to interfere quantum mechanically results in collective dynamical behavior without classical counterpart. We identify two competing dark states, a trivial one corresponding to a classical absorbing state and an emergent one which is quantum coherent. We establish a nonequilibrium phase transition within this dark space that features a phenomenology which cannot be encountered in classical systems. Such emergent two-dimensional dark space may find technological applications, e.g. for the collective encoding of a quantum information.

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Section: (C)contrasting

confidence: 51%

Nonequilibrium Dark Space Phase Transition

Carollo

Lesanovsky

2022

Phys. Rev. Lett.

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“…Within the so-called Markovian approximation, the Lindblad equation provides a powerful framework to address open quantum systems [5]. Interestingly, for some models it is possible to obtain exact solutions of the Lindblad equation [6][7][8][9][10][11][12][13][14][15][16], for instance, in noninteracting systems with linear dissipators [6]. Perturbative field-theoretical approaches are also available [17].…”

Section: Introductionmentioning

confidence: 99%

Unbounded entanglement production via a dissipative impurity

Alba

2022

SciPost Phys.

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We investigate the entanglement dynamics in a free-fermion chain initially prepared in a Fermi sea and subjected to localized losses (dissipative impurity). We derive a formula describing the dynamics of the entanglement entropies in the hydrodynamic limit of long times and large intervals. The result depends only on the absorption coefficient of the effective delta potential describing the impurity in the hydrodynamic limit. Genuine dissipation-induced entanglement is certified by the linear growth of the logarithmic negativity. Finally, in the quantum Zeno regime at strong dissipation the entanglement growth is arrested (Zeno entanglement death).

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“…Crucially, it also allows us to transform superoperators into matrices. In fact, this method has been used to great effect in previous efforts to model nonunitary dynamics (see, e.g., [43][44][45]).…”

Section: B Vectorizing the Lindblad Equationmentioning

confidence: 99%

Master-equation treatment of nonlinear optomechanical systems with optical loss

et al. 2021

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Open-system dynamics play a key role in the experimental and theoretical study of cavity optomechanical systems. In many cases, the quantum Langevin equations have enabled excellent models for optical decoherence, yet a master-equation approach to the fully nonlinear optomechanical Hamiltonian has thus far proven more elusive. To address this outstanding question and broaden the mathematical tool set available, we derive a solution to the Lindblad master equation that models optical decoherence for a system evolving with the nonlinear optomechanical Hamiltonian. The method combines a Lie-algebra solution to the unitary dynamics with a vectorization of the Lindblad equation, and we demonstrate its applicability by considering the preparation of optical cat states via the optomechanical nonlinearity in the presence of optical loss. Our results provide a direct way of analytically assessing the impact of optical decoherence on the optomechanical intracavity state.

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Bethe ansatz approach for dissipation: exact solutions of quantum many-body dynamics under loss

Cited by 50 publications

References 119 publications

Nonequilibrium Dark Space Phase Transition

Nonequilibrium Dark Space Phase Transition

Unbounded entanglement production via a dissipative impurity

Master-equation treatment of nonlinear optomechanical systems with optical loss

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