Finding spin glass phase of cavity cosine Ising Model
with Parallel Tempering Markov Chain Monte Carlo

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Abstract/Contents

Abstract: A spin glass is a phase of matter that occurs in various magnetic materials. It's characterized by quenched magnetic disorder and non-ergodic behavior. This phase is significant because finding the ground state of a spin glass can be mapped to NP complete optimization problems, where the ground states represent solutions. Here, we study how a spin glass phase can emerge in cavity QED spin systems. In particular, we study an zero field Ising Hamiltonian with a novel all to all connectivity matrix of cavity mediated interactions [equation in document] where the r_i is the position of the i^(th) spin in the cavity, and it is normally distributed with mean 0 and variance w^2. We use a custom implementation of Parallel Tempering Monte Carlo Markov Chain methods to partially map the (w,T) phase diagram of this model. Finally, we provide the first numerical confirmation that this interaction model gives rise to a spin glass phase.

Type of resource	text
Date created	May 14, 2021

Author	Valenzuela Lombera, Inigo
Primary advisor	Lev, Benjamin
Advisor	Khemani, Vedika
Degree granting institution	Stanford University, Department of Physics

Location	https://purl.stanford.edu/kv313yy7422

License: This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

Preferred Citation: Valenzuela Lombera. (2021). Finding spin glass phase of cavity cosine Ising Model
with Parallel Tempering Markov Chain Monte Carlo. Stanford Digital Repository. Available at: https://purl.stanford.edu/kv313yy7422

Undergraduate Theses, Department of Physics

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