https://doi.org/10.1140/epjp/s13360-025-06426-6
Regular Article
Quench dynamics of hard-core bosons in the extended Bose–Hubbard model
1
Centre for Quantum Engineering Research and Education, TCG Centres for Research and Education in Science and Technology, 700091, Kolkata, India
2
Department of Physics, Indian Institute of Technology Tirupati, 517619, Yerpedu, Andhra Pradesh, India
3
Artificial Intelligence and Quantum Technology Group, Centre for Development of Advanced Computing (C-DAC), 411008, Pune, India
4
Department of Physics, School of Science, Tokyo Institute of Technology, 152-8550, Tokyo, Japan
Received:
27
March
2025
Accepted:
13
May
2025
Published online:
28
June
2025
We examine the quench dynamics of hard-core bosons in a one-dimensional optical lattice at half-filling within the extended Bose–Hubbard model. Specifically, we study the system’s response to a linear quench of the nearest-neighbor interaction, driving it from the superfluid (SF) to the density-wave phase through a quantum critical point. First, we analyze the time evolution of key observables—including on-site density, momentum distribution, and structure factor—across slow, intermediate, and fast quenches, for different system sizes. Next, motivated by the physics of the Kibble–Zurek mechanism, we investigate the scaling behavior between the defects generated and quenching rates. We calculate the residual energy of the system for several quench rates and system sizes to quantify the defects. By comparing our results to the predicted scaling laws, we demonstrate the characteristic signatures of the Kibble–Zurek mechanism in this system. To enhance the comprehensiveness of our study, we further analyze the evolution of residual energy across various quench rates. Our findings offer insights into the universal non-equilibrium dynamics of quantum phase transitions in strongly correlated systems.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
