Dynamical quantum phase transitions in spin-S U (1) quantum link models

Year: 2022

Authors: Van Damme M., Zache TV., Banerjee D., Hauke P., Halimeh JC.

Autors Affiliation: Univ Ghent, Dept Phys & Astron, Krijgslaan 281, B-9000 Ghent, Belgium; Univ Innsbruck, Ctr Quantum Phys, A-6020 Innsbruck, Austria; Austrian Acad Sci, Inst Quantum Opt & Quantum Informat, A-6020 Innsbruck, Austria; Saha Inst Nucl Phys, Theory Div, 1-AF Bidhan Nagar, Kolkata 700064, India; Homi Bhabha Natl Inst, Training Sch Complex, Mumbai 400094, India; Univ Trento, CNR BEC Ctr, Dept Phys, INO, Via Sommar 14, I-38123 Trento, Italy; Ludwig Maximilians Univ Munchen, Dept Phys, Theresienstr 37, D-80333 Munich, Germany; Ludwig Maximilians Univ Munchen, Arnold Sommerfeld Ctr Theoret Phys ASC, Theresienstr 37, D-80333 Munich, Germany; Munich Ctr Quantum Sci & Technol MCQST, Schellingstr 4, D-80799 Munich, Germany.

Abstract: Dynamical quantum phase transitions (DQPTs) are a powerful concept of probing far-from-equilibrium criticality in quantum many-body systems. With the strong ongoing experimental drive to quantum simulate lattice gauge theories, it becomes important to investigate DQPTs in these models in order to better understand their far-from-equilibrium properties. In this work, we use infinite matrix product state techniques to study DQPTs in spin -S U (1) quantum link models. Although we are able to reproduce literature results directly connecting DQPTs to a sign change in the dynamical order parameter in the case of S = 1/2 for quenches starting in a vacuum initial state, we find that for different quench protocols or different values of the link spin length S > 1/2 this direct connection is no longer present. In particular, we find that there is an abundance of different types of DQPTs not directly associated with any sign change of the order parameter. Our findings indicate that DQPTs are fundamentally different between the Wilson-Kogut-Susskind limit and its representation through the quantum link formalism.

Journal/Review: PHYSICAL REVIEW B

Volume: 106 (24)      Pages from: 245110-1  to: 245110-10

More Information: J.C.H. acknowledges fruitful discussions with Mari Carmen Banuls, Haifeng Lang, and Ian P. McCulloch. This project has received funding from the (European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 948141) ERC Starting Grant SimUcQuam. This work is part of and supported by Provincia Autonoma di Trento, the ERC Starting Grant StrEnQTh (Project ID 804305), the Google Research Scholar Award ProGauge, and Q@TN Quantum Science and Technology in Trento, Research Foundation Flanders (G0E1520N, G0E1820N), and ERC grants QUTE (647905) and ERQUAF (715861). This work was supported by the Simons Collaboration on UltraQuantum Matter, which is a grant from the Simons Foundation (651440, P.Z.).
KeyWords: Statistical-mechanics; Gauge-invariance; Thermalization; Simulation; Systems; Chaos
DOI: 10.1103/PhysRevB.106.245110

Citations: 16
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