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DTSTAMP:20260501T170225Z
SUMMARY:Joint Quantum and Matter Seminar: Measurement-Induced Phase Transit
 ions
DESCRIPTION:Measurement-Induced Phase Transitions: From Ensembles of Quantu
 m Trajectories to Most-Likely Dynamics\nQuantum systems exhibit complex dy
 namics characterised by information scrambling\, giving rise to phenomena 
 such as long-range entanglement and thermalisation. Local measurements can
  profoundly alter these dynamics by freezing local degrees of freedom\, le
 ading to new stationary state distributions and associated measurement-ind
 uced phase transitions (MiPTs). While measurement-induced dynamics is inhe
 rently stochastic\, post-selecting specific detector readouts to isolate i
 ndividual quantum trajectories yields deterministic dynamics with distinct
  phase transition characteristics.\nIn this talk\, I contrast the quantum 
 dynamics of individual post-selected trajectories with their collective st
 atistical behaviour. I introduce a novel partially post-selected stochasti
 c Schrödinger equation that captures controllable subsets of quantum traj
 ectories\, and exploit it to define the concept of the most likely traject
 ory. I demonstrate this framework on paradigmatic systems of Gaussian ferm
 ions and bosons\, showing that the most-likely dynamics reproduces key qua
 litative features of the full ensemble dynamics. I further apply the forma
 lism to interacting bosons in the Sine-Gordon model\, where the most-likel
 y trajectory approach captures the dynamics through a self-consistent harm
 onic approximation and reveals an entanglement phase transition from area-
 law to logarithmic-law scaling.\nTogether\, these results establish a powe
 rful framework for studying MiPTs in monitored quantum systems via determi
 nistic nonlinear equations\, applicable to both fermionic and bosonic plat
 forms.\nBased on\n[1] Chun Y. Leung\, Dganit Meidan and Alessandro Romito\
 , Phys. Rev. X 15\, 021020 (2025)\n[2] Anna Delmonte\, Zejian Li\, Rosario
  Fazio and Alessandro Romito\, SciPost Phys. 20\, 109 (2026)
URL:https://www.imperial.ac.uk/events/208760/joint-quantum-and-matter-semin
 ar-measurement-induced-phase-transitions/
DTSTART;TZID=Europe/London:20260501T130000
DTEND;TZID=Europe/London:20260501T140000
LOCATION:741\, Blackett Building\, South Kensington Campus\, Imperial Colle
 ge London\, London\, SW7 2AZ\, United Kingdom
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