Quantum Phase Transitions in periodically quenched systems

Á. Sáiz1,2, J. Khalouf-Rivera3,2,4, J. M. Arias1,5, P. Pérez-Fernández2,5, and J. Casado-Pascual6

1Departamento de Física Atómica, Molecular y Nuclear, Facultad de Física, Universidad de Sevilla, Apartado 1065, E-41080 Sevilla, Spain.
2Departamento de Física Aplicada III, Escuela Técnica Superior de Ingeniería, Universidad de Sevilla, E-41092 Sevilla, Spain
3School of Physics, Trinity College Dublin, College Green, Dublin 2, Ireland
4Departamento de Ciencias Integradas y Centro de Estudios Avanzados en Física, Matemática y Computación, Universidad de Huelva, 21071 Huelva, Spain
5Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Fuentenueva s/n, 18071 Granada, Spain
6Física Teórica, Universidad de Sevilla, Apartado de Correos 1065, Sevilla 41080, Spain

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Abstract

Quantum phase transitions encompass a variety of phenomena that occur in quantum systems exhibiting several possible symmetries. Traditionally, these transitions are explored by continuously varying a control parameter that connects two different symmetry configurations. Here we propose an alternative approach where the control parameter undergoes abrupt and time-periodic jumps between only two values. This approach yields results surprisingly similar to those obtained by the traditional one and may prove experimentally useful in situations where accessing the control parameter is challenging.

In the study of quantum phase transitions, which encompass various phenomena in quantum systems with multiple symmetries, the traditional approach involves gradually varying a control parameter. However, our research introduces an innovative alternative. We propose a method where this parameter abruptly and periodically switches between two values. Surprisingly, this approach yields results similar to traditional techniques and could prove invaluable in experiments where controlling the parameter is challenging.

By employing a time-periodic Hamiltonian that alternates between two symmetries, we effectively capture essential information about phase transitions in quantum systems. This novel approach not only offers a fresh perspective on studying complex quantum phenomena but also provides a practical tool for experimental investigations.

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Cited by

[1] Haiting Zhang, Yifan Qian, Zhen-Xia Niu, and Qian Wang, "Excited-state quantum phase transitions and the entropy of the work distribution in the anharmonic Lipkin-Meshkov-Glick model", Physical Review E 109 6, 064110 (2024).

[2] Pragna Das, Devendra Singh Bhakuni, Lea F. Santos, and Auditya Sharma, "Periodically and quasiperiodically driven anisotropic Dicke model", Physical Review A 108 6, 063716 (2023).

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