Simulation of quantum phase transitions

Laurent Sanchez-Palencia

Joydip Ghosh, Barry C. Sanders

We devise a scalable scheme for simulating a quantum phase transition from paramagnetism to frustrated magnetism in a superconducting flux-qubit network, and we show how to characterize this system experimentally both macroscopically and microscopically. The proposed macroscopic characterization of the quantum phase transition is based on the transition of the probability distribution for the spin-network net magnetic moment with this transition quantified by the difference between the Kullback–Leibler divergences of the distributions corresponding to the paramagnetic and frustrated magnetic phases with respect to the probability distribution at a given time during the transition. Microscopic characterization of the quantum phase transition is performed using the standard local-entanglement-witness approach. Simultaneous macro and micro characterizations of quantum phase transitions would serve to verify a quantum phase transition in two ways especially in the quantum realm for the classically intractable case of frustrated quantum magnetism.

Masatoshi Imada, 今田 正俊

Jincheng Zhang

This paper presents a novel multi-scale quantum phase transition calculation framework designed to simulate and predict the behavior of quantum materials. The core mechanism involves decomposing the phase transition process into multiple scales, represented by a "quantum phase transition map" which includes multiple evolution pathways. This approach offers a fundamentally new method for analyzing and predicting complex material behavior, addressing limitations of existing computational techniques. The framework's primary goal is to provide a robust and accurate tool for investigating and understanding the intricate dynamics of quantum phase transitions. We demonstrate the framework's effectiveness through the simulation of a specific quantum material, highlighting its ability to capture the essential features of the transition. The study underscores the potential of this approach to significantly advance the field of quantum materials science.

Gérard G. Emch, Chuang Liu

Antônio Sérgio Teixeira Pires