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University of Birmingham > Talks@bham > Theoretical Physics Seminars > Measurement induced phase transition in a monitored fermion chain
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If you have a question about this talk, please contact Dr Hannah Price. Recently, a new class of phase transitions has been discovered, which result from a competition between deterministic Hamiltonian dynamics, and stochastic dynamics imprinted by local measurements. The transition surfaces in the dynamics of entanglement, and a transition from volume to area law was found in random circuit models. Here we establish a novel entanglement transition scenario between a regime of logarithmic entanglement growth, and a quantum Zeno regime obeying an area law, in continuously monitored fermion dynamics. Beyond the entanglement signatures, also correlation functions which are non-linear in the quantum state witness the transition. It interpolates between a gapless phase with algebraically decaying correlation functions, and a gapped one with exponential behavior. This motivates a statistical mechanics style approach to the problem, interpolating between the microscopic measurement dynamics and the macroscopic correlators. While the unread measurement dynamics heats up to infinity, the non-linear state evolution hosts degrees of freedom captured by a non-hermitean quantum Sine-Gordon model. This gives both a physical picture for the phase transition in terms of a depinning from the measurement operator eigenstates induced by unitary dynamics, and places it into the BKT universality class. This talk is part of the Theoretical Physics Seminars series. This talk is included in these lists:
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