Boundary time crystals as AC sensors: Enhancements and constraints
Dominic Gribben, Anna Sanpera, Rosario Fazio, Jamir Marino, Fernando Iemini
SciPost Phys. 18, 100 (2025) · published 18 March 2025
- doi: 10.21468/SciPostPhys.18.3.100
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Abstract
We investigate the use of a boundary time crystals (BTCs) as quantum sensors of AC fields. Boundary time crystals are non-equilibrium phases of matter in contact to an environment, for which a macroscopic fraction of the many-body system breaks the time translation symmetry. We find an enhanced sensitivity of the BTC when its spins are resonant with the applied AC field, as quantified by the quantum Fisher information (QFI). The QFI dynamics in this regime is shown to be captured by a relatively simple Ansatz consisting of an initial power-law growth and late-time exponential decay. We study the scaling of the Ansatz parameters with resources (encoding time and number of spins) and identify a moderate quantum enhancement in the sensor performance through comparison with classical QFI bounds. Investigating the precise source of this performance, we find that despite of its long coherence time and multipartite correlations (advantageous properties for quantum metrology), the entropic cost of the BTC (which grows indefinitely in the thermodynamic limit) hinders an optimal decoding of the AC field information. This result has implications for future candidates of quantum sensors in open system and we hope it will encourage future study into the role of entropy in quantum metrology.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Dominic Gribben,
- 2 3 Anna Sanpera,
- 4 5 Rosario Fazio,
- 1 Jamir Marino,
- 1 6 Fernando Iemini
- 1 Johannes Gutenberg-Universität Mainz / Johannes Gutenberg University of Mainz
- 2 Institució Catalana de Recerca i Estudis Avançats [ICREA]
- 3 Universitat Autònoma de Barcelona / Autonomous University of Barcelona [UAB]
- 4 Centro Internazionale di Fisica Teorica Abdus Salam / Abdus Salam International Centre for Theoretical Physics [ICTP]
- 5 Università degli Studi di Napoli Federico II / University of Naples Federico II
- 6 Universidade Federal Fluminense / Fluminense Federal University [UFF]
- Agencia Estatal de Investigación
- Alexander von Humboldt-Stiftung / Alexander von Humboldt Foundation
- Conselho Nacional de Desenvolvimento Científico e Tecnológico / National Council for Scientific and Technological Development [CNPq]
- Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]
- European Research Council [ERC]
- Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro [FAPERJ]
- Generalitat de Catalunya / Government of Catalonia
- Horizon 2020 (through Organization: European Commission [EC])
- Instituto Serrapilheira
- Ministerio de Ciencia e Innovación (through Organization: Ministerio de Ciencia, Innovación y Universidades / Ministry of Science, Innovation and Universities)
- Ministerio de Economía y Competitividad (MINECO) (through Organization: Ministerio de Economía, Industria y Competitividad / Ministry of Economy, Industry and Competitiveness [MINECO])
- Ministero dell'Università e della Ricerca