Quantum simulation of the phase transition of the massive Thirring model
arXiv:2412.00803 · doi:10.1007/JHEP09(2025)120
Abstract
Recent advancements in quantum computing technology have enabled the study of fermionic systems at finite temperature via quantum simulations. This presents a novel approach to investigating the chiral phase transition in such systems. Among these, the quantum minimally entangled typical thermal states~(QMETTS) algorithm has recently attracted considerable interest. The massive Thirring model, which exhibits a variety of phenomena at low temperatures, includes both a chiral phase transition and a topologically non-trivial ground state. It therefore raises the intriguing question of whether its phase transition can be studied using a quantum simulation approach. In this study, the chiral phase transition of the massive Thirring model and its dual topological phase transition are studied using the QMETTS algorithm. Numerical results are obtained on a classical computer simulating circuit-based quantum computations. The results show that QMETTS is able to accurately reproduce the phase transition and thermodynamic properties of the massive Thirring model.
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References in corpus (24)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Exponential suppression of bit or phase flip errors with repetitive error correction
- Quantum Simulation for High Energy Physics
- Scale for the Phase Diagram of Quantum Chromodynamics
- SU(2) hadrons on a quantum computer
- Adaptive Variational Quantum Imaginary Time Evolution Approach for Ground State Preparation
- Application of Quantum Machine Learning using the Quantum Variational Classifier Method to High Energy Physics Analysis at the LHC on IBM Quantum Computer Simulator and Hardware with 10 qubits
- Application of Quantum Machine Learning using the Quantum Kernel Algorithm on High Energy Physics Analysis at the LHC
- critRHIC: The RHIC Low Energy Program
- Primitive Quantum Gates for an SU(2) Discrete Subgroup: BT
- Partonic collinear structure by quantum computing
- Determining the proton content with a quantum computer
- Improved Hamiltonians for Quantum Simulations
- Quantum Simulation of Light-Front Parton Correlators
- Quantum Simulation of Chiral Phase Transitions
- Fragmented imaginary-time evolution for early-stage quantum signal processors
- A Novel Quantum Realization of Jet Clustering in High-Energy Physics Experiments
- Detect anomalous quartic gauge couplings at muon colliders with quantum kernel k-means
- Application of Quantum Machine Learning in a Higgs Physics Study at the CEPC
- Generalising quantum imaginary time evolution to solve linear partial differential equations
- Accelerating quantum imaginary-time evolution with random measurements
- Optimize the event selection strategy to study the anomalous quartic gauge couplings at muon colliders using the support vector machine and quantum support vector machine
- Study of the effects of external imaginary electric field and chiral chemical potential on quark matter
- Optimize quantum simulation using a force-gradient integrator