Video URL
https://pirsa.org/21030002Novel entanglement phases and phase transitions via spacetime duality
APA
Khemani, V. (2021). Novel entanglement phases and phase transitions via spacetime duality. Perimeter Institute for Theoretical Physics. https://pirsa.org/21030002
MLA
Khemani, Vedika. Novel entanglement phases and phase transitions via spacetime duality. Perimeter Institute for Theoretical Physics, Mar. 22, 2021, https://pirsa.org/21030002
BibTex
@misc{ scivideos_PIRSA:21030002, doi = {10.48660/21030002}, url = {https://pirsa.org/21030002}, author = {Khemani, Vedika}, keywords = {Quantum Matter}, language = {en}, title = {Novel entanglement phases and phase transitions via spacetime duality}, publisher = {Perimeter Institute for Theoretical Physics}, year = {2021}, month = {mar}, note = {PIRSA:21030002 see, \url{https://scivideos.org/index.php/pirsa/21030002}} }
Vedika Khemani Stanford University
Abstract
The extension of many-body quantum dynamics to the non-unitary domain has led to a series of exciting developments, including new out-of-equilibrium entanglement phases and phase transitions. We show how a duality transformation between space and time on one hand, and unitarity and non-unitarity on the other, can be used to realize steady state phases of non-unitary dynamics that exhibit a rich variety of behavior in their entanglement scaling with subsystem size --- from logarithmic to extensive to fractal. We show how these outcomes in non-unitary circuits (that are ``spacetime-dual" to unitary circuits) relate to the growth of entanglement in time in the corresponding unitary circuits, and how they differ, through an exact mapping to a problem of unitary evolution with boundary decoherence, in which information gets ``radiated away'' from one edge of the system. In spacetime-duals of chaotic unitary circuits, this mapping allows us to uncover a non-thermal volume-law entangled phase with a logarithmic correction to the entropy distinct from other known examples. Most notably, we also find novel steady state phases with fractal entanglement scaling, $S(\ell) \sim \ell^{\alpha}$ with tunable $0 < \alpha < 1$ for subsystems of size $\ell$ in one dimension. These fractally entangled states add a qualitatively new entry to the families of many-body quantum states that have been studied as energy eigenstates or dynamical steady states, whose entropy almost always displays either area-law, volume-law or logarithmic scaling. We also present an experimental protocol for preparing these novel steady states with only a very limited amount of postselection via a type of ``teleportation" between spacelike and timelike slices of quantum circuits.