Entanglement transition and monogamy effects in non-Markovian systems

G. Chiriacò,1 M. Tsitsishvili,2,3 D. Poletti,4,5 M. Dalmonte2,3

1Dipartimento di Fisica e Astronomia, Università di Catania, Italy

2Scuola Internazionale di Studi Superiori Avanzati (SISSA), Trieste, Italy

3The Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy

4Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, Singapore

5Engineering Product Development Pillar, Singapore University of Technology and Design,

Singapore

In the last few years there has been great interest in the dynamics of monitored quantum many-body systems. The interplay between unitary evolution and dissipative dynamics leads to many effects, including measurement induced phase transitions of the entanglement scaling. While earlier works all considered Markovian dissipative processes, lately there has been growing interest in non-Markovian dissipation and the effect of memory on entanglement transitions [1].

I will present recent results and developments on the study of entanglement in non-Markovian systems [2]. In particular, I will focus on a free fermions ladder model, where one of the chains is the system of interest and the other chain (bath chain) is subjected to Markovian projective measurements. The global dynamics is Markovian and can be studied through standard Montecarlo quantum jumps methods, but because of the internal dynamics of the bath chains, the reduced dynamics on the system chain is non-Markovian. The introduction of this ancillary chain allows to study the entanglement transition in the presence of memory effects. The studied model exhibits a variety of phases, including transition a from area-law to CFT phase and different regimes where the monogamy of entanglement produces strong counter-intuitive effects.

1. G. Chiriacò et al., Phys. Rev. B 108, 075151 (2023)
2. M Tsitsishvili et al., arXiv:2307.06624