Lucas Sá (Author), Pedro Ribeiro (Author), Tomaž Prosen (Author)

Abstract

We explicitly construct an integrable and strongly interacting dissipative quantum circuit via a trotterization of the Hubbard model with imaginary interaction strength. To prove integrability, we build an inhomogeneous transfer matrix, from which conserved superoperator charges can be derived, in particular, the circuit's dynamical generator. After showing the trace preservation and complete positivity of local maps, we reinterpret them as the Kraus representation of the local dynamics of free fermions with single-site dephasing. The integrability of the map is broken by adding interactions to the local coherent dynamics or by removing the dephasing. In particular, even circuits built from convex combinations of local free-fermion unitaries are nonintegrable. Moreover, the construction allows us to explicitly build circuits belonging to different non-Hermitian symmetry classes, which are characterized by the behavior under transposition instead of complex conjugation. We confirm all our analytical results by using complex spacing ratios to examine the spectral statistics of the dissipative circuits.

Keywords

statistična fizika;kvantna mehanika;odprti kvantni sistemi;statistical physics;quantum mechanics;open quantum systems;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 536.93
COBISS: 57296131 Link will open in a new window
ISSN: 2469-9950
Views: 360
Downloads: 196
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Other data

Secondary language: Slovenian
Secondary keywords: statistična fizika;kvantna mehanika;odprti kvantni sistemi;
Pages: str. 115132-1-115132-9
Volume: ǂVol. ǂ103
Issue: ǂiss. ǂ11
Chronology: 2021
DOI: 10.1103/PhysRevB.103.115132
ID: 12692800