Final published version, 4.45 MB, PDF document
Available under license: CC BY: Creative Commons Attribution 4.0 International License
Research output: Working paper › Preprint
Research output: Working paper › Preprint
}
TY - UNPB
T1 - Topological transitions with continuously monitored free fermions
AU - Kells, Graham
AU - Meidan, Dganit
AU - Romito, Alessandro
N1 - 19 pages, 9 figures, expanded Sec III, added appendix B
PY - 2023/3/13
Y1 - 2023/3/13
N2 - We study a free fermion model where two sets of non-commuting non-projective measurements stabilize area-law entanglement scaling phases of distinct topological order. We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. In the presence of unitary dynamics, the two topologically distinct phases are separated by a region with sub-volume scaling of the entanglement entropy. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy. We further show that the phase diagram is qualitatively captured by an analytically tractable non-Hermitian model obtained via post-selecting the measurement outcome. Finally we introduce a partial-post-selection continuous mapping, that uniquely associates topological indices of the non-Hermitian Hamiltonian to the distinct phases of the stochastic measurement-induced dynamics.
AB - We study a free fermion model where two sets of non-commuting non-projective measurements stabilize area-law entanglement scaling phases of distinct topological order. We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. In the presence of unitary dynamics, the two topologically distinct phases are separated by a region with sub-volume scaling of the entanglement entropy. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy. We further show that the phase diagram is qualitatively captured by an analytically tractable non-Hermitian model obtained via post-selecting the measurement outcome. Finally we introduce a partial-post-selection continuous mapping, that uniquely associates topological indices of the non-Hermitian Hamiltonian to the distinct phases of the stochastic measurement-induced dynamics.
KW - quant-ph
KW - cond-mat.mes-hall
KW - cond-mat.stat-mech
M3 - Preprint
VL - 14
BT - Topological transitions with continuously monitored free fermions
PB - SciPost Foundation
ER -