Integrable nonunitary open quantum circuits
ID Sá, Lucas (Author), ID Ribeiro, Pedro (Author), ID Prosen, Tomaž (Author)

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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:statistical physics, quantum mechanics, open quantum systems
Typology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Publication status in journal:Published
Article version:Postprint, final article version, accepted into publication
Number of pages:Str. 115132-1-115132-9
Numbering:Vol. 103, iss. 11
PID:20.500.12556/RUL-125582 This link opens in a new window
ISSN on article:2469-9950
DOI:10.1103/PhysRevB.103.115132 This link opens in a new window
COBISS.SI-ID:57296131 This link opens in a new window
Publication date in RUL:26.03.2021
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Record is a part of a journal

Title:Physical review
Publisher:American Physical Society
COBISS.SI-ID:2997348 This link opens in a new window

Secondary language

Keywords:statistična fizika, kvantna mehanika, odprti kvantni sistemi


Funder:EC - European Commission
Funding programme:H2020
Project number:694544
Name:Open Many-body Non-Equilibrium Systems

Funder:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Project number:P1-0402
Name:Matematična fizika

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