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Status |
Confirmed |
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Seminar Series |
SEM-EXCEP |
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Subjects |
cond-mat |
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Date |
Thursday 2 May 2024 |
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Time |
14:00 |
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Institute |
LPTMC |
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Seminar Room |
LPTMC seminar room, Jussieu, towers 12-13, 5th floor, room 523 |
|
Speaker's Last Name |
Meidan |
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Speaker's First Name |
Dganit |
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Speaker's Email Address |
dganit [at] bgu [dot] ac [dot] il |
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Speaker's Institution |
BGU |
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Title |
Theory of free fermion dynamics – from monitored to post selected evolution |
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Abstract |
Monitored quantum systems undergo Measurement-induced Phase Transitions (MiPTs) stemming from the
interplay between measurements and unitary dynamics. When the detector readout is post- selected to
match a given value, the dynamics is generated by a Non-Hermitian Hamiltonian with MiPTs characterized by
different universal features. Here, we derive a partial post-selected stochastic Schrodinger equation based on
a microscopic description of continuous weak measurement. This formalism connects the monitored and
post-selected dynamics to a broader family of stochastic evolution. We apply the formalism to a chain of free
fermions subject to partial post-selected monitoring of local fermion parities. Within a 2-replica approach, we
obtained an effective bosonized Hamiltonian in the strong post-selected limit. Using a renormalization group
analysis, we find that the universality of the non-Hermitian MiPT is stable against a finite (weak) amount of
stochasticity. We further show that the passage to the monitored universality occurs abruptly at finite partial
post-selection, which we confirm from the numerical finite size scaling of the MiPT. Our approach establishes
a way to study MiPTs for arbitrary subsets of quantum trajectories and provides a potential route to tackle the
experimental post-selected problem. |
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arXiv Preprint Number |
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