Measurement-Induced Phase Transition in a Quantum Ising System
APA
(2025). Measurement-Induced Phase Transition in a Quantum Ising System. SciVideos. https://youtube.com/live/Qle8Hf1EBKY
MLA
Measurement-Induced Phase Transition in a Quantum Ising System. SciVideos, Jan. 29, 2025, https://youtube.com/live/Qle8Hf1EBKY
BibTex
@misc{ scivideos_ICTS:30881, doi = {}, url = {https://youtube.com/live/Qle8Hf1EBKY}, author = {}, keywords = {}, language = {en}, title = {Measurement-Induced Phase Transition in a Quantum Ising System}, publisher = {}, year = {2025}, month = {jan}, note = {ICTS:30881 see, \url{https://scivideos.org/index.php/icts-tifr/30881}} }
Abstract
We present a protocol for measurement-induced transition, where at each time-step we evolve a quantum Ising chain under transverse Ising Hamiltonian for time τ, and then make a global measurement with certainty. For system size ≤28, there is a transition in entanglement at some critical value τ = τc. We also calculate survival probability of the initial state and find that some quantity derived from this probability also shows a peak at τc. Using a recurrence relation, one can compute survival probability in our set-up for size upto 1000. It is found that the critical value of τ follows a scaling τc ∝1/√N. Hence, the transition occurs for finite size only. It will be interesting to investigate the size-dependence of critical point in other measurement-induced transitions.