SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 40: Stochastic Thermodynamics

DY 40.6: Vortrag

Donnerstag, 30. März 2023, 11:30–11:45, ZEU 250

Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum. — •Caterina Zerba^1,2,3 and Alessandro Silva² — ¹Technical University of Munich, 85748 Garching, Germany — ²International School for Advanced Studies (SISSA), via Bonomea 265, 34136 Trieste, Italy — ³Università degli Studi di Trieste, via Alfonso Valerio 2, 34127 Trieste, Italy

We study dynamical phase transitions occurring in the stationary state of the dynamics of integrable many-body non-hermitian Hamiltonians, which can be either realized as a no-click limit of a stochastic Schrödinger equation or using spacetime duality of quantum circuits. In two specific models, the Transverse Field Ising Chain and the Long Range Kitaev Chain, we observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian: an area law phase when the imaginary part of the quasi-particle spectrum is gapped and a logarithmic growth for gapless imaginary spectrum. This observation suggests the possibility to generalize the area-law theorem to non-Hermitian Hamiltonians