Purification Dynamics in a Continuous-time Hybrid Quantum Circuit Model
- URL: http://arxiv.org/abs/2308.12003v1
- Date: Wed, 23 Aug 2023 08:41:46 GMT
- Title: Purification Dynamics in a Continuous-time Hybrid Quantum Circuit Model
- Authors: Sebastian Leontica and Max McGinley
- Abstract summary: We introduce a continuous time model of many-body quantum dynamics based on infinitesimal random unitary operations.
We consider dynamics in this model, where the system is in a mixed state, which then purifies over time as a result of the measurements.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We introduce a continuous time model of many-body quantum dynamics based on
infinitesimal random unitary operations, combined with projective measurements.
We consider purification dynamics in this model, where the system is
initialized in a mixed state, which then purifies over time as a result of the
measurements. By mapping our model to a family of effective 1D quantum
Hamiltonians, we are able to derive analytic expressions that capture how the
entropy of the system decays in time. Our results confirm the existence of two
distinct dynamical phases, where purification occurs over a timescale that is
exponential vs. constant in system size. We compare our analytic expressions
for this microscopic model to results derived from field theories that are
expected to capture such measurement-induced phase transitions, and find
quantitative agreement between the two.
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