Quantum Phase Transitions in periodically quenched systems

Á. Sáiz; J. Khalouf-Rivera; J. M. Arias; P. Pérez-Fernández; J. Casado-Pascual

doi:10.22331/q-2024-06-11-1365

Quantum Phase Transitions in periodically quenched systems

Á. Sáiz^1,2, J. Khalouf-Rivera^3,2,4, J. M. Arias^1,5, P. Pérez-Fernández^2,5, 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

Published:	2024-06-11, volume 8, page 1365
Eprint:	arXiv:2302.00382v3
Doi:	https://doi.org/10.22331/q-2024-06-11-1365
Citation:	Quantum 8, 1365 (2024).

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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.

Featured image: Sketch of the time-periodic Hamiltonian used in our method. The quench time $t_0$ can be varied and serves as a control parameter.

Popular summary

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.

► BibTeX data

@article{Saiz2024quantumphase,
  doi = {10.22331/q-2024-06-11-1365},
  url = {https://doi.org/10.22331/q-2024-06-11-1365},
  title = {Quantum {P}hase {T}ransitions in periodically quenched systems},
  author = {S{\'{a}}iz, {\'{A}}. and Khalouf-Rivera, J. and Arias, J. M. and P{\'{e}}rez-Fern{\'{a}}ndez, P. and Casado-Pascual, J.},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {8},
  pages = {1365},
  month = jun,
  year = {2024}
}

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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).

The above citations are from SAO/NASA ADS (last updated successfully 2024-06-24 00:29:46). The list may be incomplete as not all publishers provide suitable and complete citation data.

On Crossref's cited-by service no data on citing works was found (last attempt 2024-06-24 00:29:45).

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