発表者名 |
大島 久典 |
指導教員名 |
渡辺 悠樹 准教授 |
発表題目(英語) |
Charge fluctuation and charge-resolved entanglement in monitored quantum circuit with U(1) symmetry |
要旨(英語) |
Recent attention has focused on the fact that critical phenomena can also occur in far-from-equilibrium systems, which share some properties of those in equilibrium systems. A pioneering example of those is the measurement-induced phase transition, stemming from the competition between the scrambling effect of the unitary dynamics and the disentangling effect of measurements[1,2]. Such phase transition occurs in a stochastic monitored system, and shows a conformal field theory (CFT)-like criticality as is the case in equilibrium critical systems . We numerically investigate this phase transition in terms of charge fluctuation[3] in a subsystem and charge-resolved entanglement[4] under U(1) symmetry associated with the total spin, or total particle number. We find that the late-time charge fluctuation exhibits logarithmic scaling at the transition and that the decay exponent of the two-point charge correlator is 2 for half-filling systems, which implies a free boson CFT, or a Tomonaga-Luttinger-liquid (TLL)-like universality. Furthermore, we compute the charge-resolved moment and find the results are well consistent with the TLL prediction, which supports the TLL-like universality of the measurement-induced phase transition under U(1) symmetry.
[1] Y. Li, X. Chen, & M. P. A. Fisher, Phys. Rev. B *98*, 205136 (2018)
[2] B. Skinner, J. Ruhman, & A. Nahum, Phys. Rev. X *9*, 031009 (2019)
[3] H. F. Song, et al., Phys. Rev. B *85*, 035409 (2012)
[4] J. C. Xavier, F. C. Alcaraz, and G. Sierra, Phys. Rev. B *98*,041106(R) (2018) |
発表言語 |
日本語 |