Special Seminar - 2/25 - 11 AM - Arijeet Pal (University College London) “Disorder and Symmetries in Lindbladian models” - Jadwin JH room

Disorder and Symmetries in Lindbladian models
Date
Feb 25, 2025, 11:00 am12:30 pm
Location
Jadwin Hall - Joseph Henry room
Audience
Faculty, post docs, grads

Speaker

Details

Event Description

The generation of entanglement in mixed states is relevant to quantum systems coupled to an environment. The dissipative and mixing properties of the environment are unavoidable in physical platforms for quantum simulation and information processing, where entanglement can be a vital resource. I will discuss two classes of Lindbladian models for open quantum systems. The first one involves disordered, long-range jump operators with a quadratic Lindbladian. I will show that this system undergoes a volume-to-area law entanglement phase transition in the mixed steady state, tuned by the range of the jump-operators, which remains stable in the presence of coherent hopping. In the second case I will demonstrate the robustness of certain aspects of 𝑍2 ×𝑍2 symmetry-protected topological (SPT) order against a wide class of dissipation channels.  Furthermore,  certain choices of dissipation retaining strong symmetries support a steady-state manifold consisting of two nonlocal logical qubits. While the localized edge qubits correspond to weak symmetries and thus retain a memory of their initial state at all times in the quantum trajectories.