Inspired by the advancements in large language models based on transformers, we
introduce the transformer quantum state (TQS): a versatile machine learning model for …

We study a one-dimensional spin-1/2 model with three-spin interactions and a transverse
magnetic field h. The model is known to have a Z 2× Z 2 symmetry and a duality between h …

We study theoretically a variety of collective quantum phases occurring in frustrated
sawtooth chains of Josephson junctions embedded in a dissipationless transmission line …

We present a theoretical study of quantum phases and quantum phase transitions occurring
in non-Hermitian P T-symmetric superconducting qubits chains described by a transverse …

The modular path integral methodology is used to extend the well-known spin-boson
dynamics to finite-length quantum Ising chains, where each spin is coupled to a dissipative …

We study quantum phases and phase transitions in a one-dimensional interacting fermion
system with a Lieb-Schultz-Mattis (LSM) type anomaly. Specifically, the inversion symmetry …

We study the tractability of classically simulating critical phenomena in the quench dynamics
of one-dimensional transverse field Ising models (TFIMs) using highly truncated matrix …

Phase transitions in dissipative quantum systems have been investigated using various
analytical approaches, particularly in the mean-field (MF) limit. However, analytical results …

As a continuation of the previously published work [Velychko OV, Stasyuk IV, Phase
Transitions, 2019, 92, 420], a phenomenological framework for the relaxation dynamics of …

The evolution of computing technologies has perpetually intersected with the fundamental
principles of physics. In this dissertation, we explore the frontier of computational paradigms …