# Equilibrium dynamics of infinite-range quantum spin glasses in a field - VIRTUAL

### APA

Tikhanovskaya, M. (2023). Equilibrium dynamics of infinite-range quantum spin glasses in a field - VIRTUAL. Perimeter Institute. https://pirsa.org/23110088

### MLA

Tikhanovskaya, Maria. Equilibrium dynamics of infinite-range quantum spin glasses in a field - VIRTUAL. Perimeter Institute, Nov. 29, 2023, https://pirsa.org/23110088

### BibTex

@misc{ pirsa_PIRSA:23110088, doi = {10.48660/23110088}, url = {https://pirsa.org/23110088}, author = {Tikhanovskaya, Maria}, keywords = {Condensed Matter}, language = {en}, title = {Equilibrium dynamics of infinite-range quantum spin glasses in a field - VIRTUAL}, publisher = {Perimeter Institute}, year = {2023}, month = {nov}, note = {PIRSA:23110088 see, \url{https://pirsa.org}} }

Maria Tikhanovskaya Harvard University

## Abstract

We determine the low-energy spectrum and Parisi replica symmetry breaking function for the spin glass phase of the quantum Ising model with infinite-range random exchange interactions and transverse and longitudinal (h) fields. We show that, for all h, the spin glass state has full replica symmetry breaking, and the local spin spectrum is gapless with a spectral density which vanishes linearly with frequency. These results are obtained using an action functional - argued to yield exact results at low frequencies - that expands in powers of a spin glass order parameter, which is bilocal in time, and a matrix in replica space. We also present the exact solution of the infinite-range spherical quantum p-rotor model at nonzero h: here, the spin glass state has one-step replica symmetry breaking, and gaplessness only appears after imposition of an additional marginal stability condition.

---

Zoom link https://pitp.zoom.us/j/98757418107?pwd=U1hiQnpKTDI4ajUyL04zRmQ4dVg3UT09