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SUMMARY:Disorder and Symmetries in Lindbladian models - Arijeet Pal\, UCL
DTSTART:20251016T130000Z
DTEND:20251016T141500Z
UID:TALK235255@talks.cam.ac.uk
CONTACT:Gaurav
DESCRIPTION:The generation of entanglement in mixed states is salient for 
 quantum systems coupled to an environment. The dissipative and mixing prop
 erties of the environment are unavoidable in physical platforms for quantu
 m simulation and information processing\, where entanglement can be a vita
 l resource. For a Markovian environment\, evolution of the system density 
 matrix is described by a Lindbladian superoperator.  I will discuss two cl
 asses of Lindbladian models for open quantum systems. The first one involv
 es disordered\, long-range jump operators with a quadratic Lindbladian. I 
 will show that this system undergoes a volume-to-area law entanglement pha
 se transition in the mixed steady state\, as a consequence of localization
  tuned by the range of the jump-operators. The weakly-entangled localized 
 phase exhibits heterogeneity and remains stable in the presence of coheren
 t hopping. \n\nIn the second class of models\, I will demonstrate the robu
 stness of dynamical aspects of 𝑍2 × 𝑍2 symmetry-protected topologic
 al (SPT) order against a wide class of dissipation channels with strong an
 d weak symmetries.  The strong symmetries host a decoherence-free steady-s
 tate subspace consisting of two delocalized logical qubits. Contrastingly\
 , the localized edge qubits correspond to weak symmetries and thus retain 
 memory of their initial state in the quantum trajectories which can be unr
 avelled via continuous monitoring. I will discuss the potential for dynami
 cally stabilizing entangled states and memory in experiments with dissipat
 ive synthetic quantum matter.
LOCATION:Seminar Room 3\, RDC
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