Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session A55: Non-Hermitian Quantum Systems
8:00 AM–11:00 AM,
Monday, March 4, 2024
Room: 204AB
Sponsoring
Unit:
DAMOP
Chair: Anna Minguzzi, LPMMC, Université Grenoble-Alpes and CNRS
Abstract: A55.00013 : Operator-space fragmentation and integrability in Lindblad open quantum systems*
10:24 AM–10:36 AM
Presenter:
Christopher J Turner
(University College London)
Authors:
Christopher J Turner
(University College London)
Dawid Paszko
(University College London)
Dominic C Rose
(University College London)
Arijeet Pal
(University College London)
We highlight a particularly interesting example where the operator space decomposes into exponentially many fragments which range in sizes up to the square-root of the full Hilbert-Schmidt dimension. At the boundary, there are a number of edge modes and in the bulk the operator dynamics is controlled by the fragments. Each of these fragments is equivalent to a non-Hermitian Lee-Yang theory with perturbed boundary fields, which may be exactly solved. This model has a phase transition governed by a non-unitary conformal field theory with a negative central charge. In the full Lindbladian, these transitions correspond to a series of exceptional points in the spectrum. We study the consequence of this for the underlying open quantum system, dynamics of operators and correlation functions, and for the stability of the edge modes.
*A.P. and D.C.R. are funded by the European Research Council (ERC) under the EU's Horizon 2020 research and innovation program (Grant Agreement No. 853368). D.P. is funded by the UCL Graduate Research Scholarship. C.J.T. is supported by an EPSRC fellowship (Grant Ref. EP/W005743/1). The authors acknowledge the use of the UCL Myriad High Performance Computing Facility (Myriad@UCL), and associated support services, in the completion of this work.
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