- Open Access
Quenched entanglement harvesting
Phys. Rev. D 112, 085001 – Published 6 October, 2025
DOI: https://doi.org/10.1103/lyhy-ftxz
Abstract
Ultracold fermionic atoms in an optical lattice, with a sudden position-dependent change (a quench) in the effective dispersion relation, have been proposed by Rodríguez-Laguna et al. as an analog spacetime test of the Unruh effect. We provide new support for this analog by analyzing the entanglement of a scalar field in a ()-dimensional continuum spacetime with a similar quench, and the harvesting of this entanglement by a pair of Unruh-DeWitt detectors. We present numerical evidence that the concurrence and mutual information harvested by the detectors are qualitatively similar to those in Rindler spacetime, but they exhibit a small yet noticeable variation when the energy pulse created by the quench crosses the detectors. These findings provide further motivation to implement the experimental proposal of Rodríguez-Laguna et al.
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References (56)
- S. J. Summers and R. Werner, The vacuum violates Bell’s inequalities, Phys. Lett. 110A, 257 (1985).
- S. J. Summers and R. Werner, Bell’s inequalities and quantum field theory. I. General setting, J. Math. Phys. (N.Y.) 28, 2440 (1987).
- A. Valentini, Non-local correlations in quantum electrodynamics, Phys. Lett. 153A, 321 (1991).
- B. Reznik, Entanglement from the vacuum, Found. Phys. 33, 167 (2003).
- B. Reznik, A. Retzker, and J. Silman, Violating Bell’s inequalities in vacuum, Phys. Rev. A 71, 042104 (2005).
- A. Pozas-Kerstjens and E. Martín-Martínez, Harvesting correlations from the quantum vacuum, Phys. Rev. D 92, 064042 (2015).
- J. Doukas and B. Carson, Entanglement of two qubits in a relativistic orbit, Phys. Rev. A 81, 062320 (2010).
- G. Salton, R. B. Mann, and N. C. Menicucci, Acceleration-assisted entanglement harvesting and rangefinding, New J. Phys. 17, 035001 (2015).
- J. Zhang and H. Yu, Entanglement harvesting for Unruh-DeWitt detectors in circular motion, Phys. Rev. D 102, 065013 (2020).
- Z. Liu, J. Zhang, and H. Yu, Entanglement harvesting in the presence of a reflecting boundary, J. High Energy Phys. 08 (2021) 020.
- Z. Liu, J. Zhang, R. B. Mann, and H. Yu, Does acceleration assist entanglement harvesting?, Phys. Rev. D 105, 085012 (2022).
- J. Foo, S. Onoe, and M. Zych, Unruh-deWitt detectors in quantum superpositions of trajectories, Phys. Rev. D 102, 085013 (2020).
- C. Suryaatmadja, R. B. Mann, and W. Cong, Entanglement harvesting of inertially moving Unruh-DeWitt detectors in Minkowski spacetime, Phys. Rev. D 106, 076002 (2022).
- Z. Liu, J. Zhang, and H. Yu, Entanglement harvesting of accelerated detectors versus static ones in a thermal bath, Phys. Rev. D 107, 045010 (2023).
- M. Naeem, K. Gallock-Yoshimura, and R. B. Mann, Mutual information harvested by uniformly accelerated particle detectors, Phys. Rev. D 107, 065016 (2023).
- G. V. Steeg and N. C. Menicucci, Entangling power of an expanding universe, Phys. Rev. D 79, 044027 (2009).
- M. Cliche and A. Kempf, Vacuum entanglement enhancement by a weak gravitational field, Phys. Rev. D 83, 045019 (2011).
- E. Martín-Martínez, A. R. H. Smith, and D. R. Terno, Spacetime structure and vacuum entanglement, Phys. Rev. D 93, 044001 (2016).
- S. Kukita and Y. Nambu, Harvesting large scale entanglement in de Sitter space with multiple detectors, Entropy 19, 449 (2017).
- L. J. Henderson, R. A. Hennigar, R. B. Mann, A. R. H. Smith, and J. Zhang, Harvesting entanglement from the black hole vacuum, Classical Quantum Gravity 35, 21LT02 (2018).
- K. K. Ng, R. B. Mann, and E. Martín-Martínez, Unruh-DeWitt detectors and entanglement: The anti–de Sitter space, Phys. Rev. D 98, 125005 (2018).
- L. J. Henderson, R. A. Hennigar, R. B. Mann, A. R. Smith, and J. Zhang, Entangling detectors in anti-de Sitter space, J. High Energy Phys. 05 (2019) 178.
- W. Cong, C. Qian, M. R. Good, and R. B. Mann, Effects of horizons on entanglement harvesting, J. High Energy Phys. 10 (2020) 067.
- M. P. G. Robbins, L. J. Henderson, and R. B. Mann, Entanglement amplification from rotating black holes, Classical Quantum Gravity 39, 02LT01 (2022).
- Q. Xu, S. Ali Ahmad, and A. R. H. Smith, Gravitational waves affect vacuum entanglement, Phys. Rev. D 102, 065019 (2020).
- E. Tjoa and R. B. Mann, Harvesting correlations in Schwarzschild and collapsing shell spacetimes, J. High Energy Phys. 08 (2020) 155.
- K. Gallock-Yoshimura, E. Tjoa, and R. B. Mann, Harvesting entanglement with detectors freely falling into a black hole, Phys. Rev. D 104, 025001 (2021).
- F. Gray, D. Kubizňák, T. May, S. Timmerman, and E. Tjoa, Quantum imprints of gravitational shockwaves, J. High Energy Phys. 11 (2021) 054.
- K. Bueley, L. Huang, K. Gallock-Yoshimura, and R. B. Mann, Harvesting mutual information from BTZ black hole spacetime, Phys. Rev. D 106, 025010 (2022).
- L. J. Henderson, S. Y. Ding, and R. B. Mann, Entanglement harvesting with a twist, AVS Quantum Sci. 4, 014402 (2022).
- J. G. A. Caribé, R. H. Jonsson, M. Casals, A. Kempf, and E. Martín-Martínez, Lensing of vacuum entanglement near Schwarzschild black holes, Phys. Rev. D 108, 025016 (2023).
- I.-C. Benea-Chelmus, F. F. Settembrini, G. Scalari, and J. Faist, Electric field correlation measurements on the electromagnetic vacuum state, Nature (London) 568, 202 (2019).
- F. F. Settembrini, F. Lindel, A. M. Herter, S. Y. Buhmann, and J. Faist, Detection of quantum-vacuum field correlations outside the light cone, Nat. Commun. 13, 3383 (2022).
- F. Lindel, A. M. Herter, J. Faist, and S. Y. Buhmann, Probing vacuum field fluctuations and source radiation separately in space and time, Phys. Rev. Res. 5, 043207 (2023).
- F. Lindel, A. Herter, V. Gebhart, J. Faist, and S. Y. Buhmann, Entanglement harvesting from electromagnetic quantum fields, Phys. Rev. A 110, 022414 (2024).
- C. Gooding, A. Sachs, R. B. Mann, and S. Weinfurtner, Vacuum entanglement probes for ultra-cold atom systems, New J. Phys. 26, 105001 (2024).
- J. Rodríguez-Laguna, L. Tarruell, M. Lewenstein, and A. Celi, Synthetic Unruh effect in cold atoms, Phys. Rev. A 95, 013627 (2017).
- A. Kosior, M. Lewenstein, and A. Celi, Unruh effect for interacting particles with ultracold atoms, SciPost Phys. 5, 061 (2018).
- J. Louko, Thermality from a Rindler quench, Classical Quantum Gravity 35, 205006 (2018).
- W. G. Unruh, Notes on black-hole evaporation, Phys. Rev. D 14, 870 (1976).
- B. S. DeWitt, Quantum gravity: The new synthesis, in General Relativity: An Einstein Centenary Survey, edited by S. W. Hawking and W. Israel (Cambridge University Press, Cambridge, England, 1979), pp. 680–745.
- B. A. Juárez-Aubry and J. Louko, Onset and decay of the Hawking-Unruh effect: What the derivative-coupling detector saw, Classical Quantum Gravity 31, 245007 (2014).
- B. A. Juárez-Aubry and J. Louko, Quantum fields during black hole formation: How good an approximation is the Unruh state?, J. High Energy Phys. 05 (2018) 140.
- E. Martín-Martínez and P. Rodriguez-Lopez, Relativistic quantum optics: The relativistic invariance of the light-matter interaction models, Phys. Rev. D 97, 105026 (2018).
- E. Martín-Martínez, T. R. Perche, and B. de S. L. Torres, General relativistic quantum optics: Finite-size particle detector models in curved spacetimes, Phys. Rev. D 101, 045017 (2020).
- S. A. Fulling and S. N. M. Ruijsenaars, Temperature, periodicity and horizons, Phys. Rep. 152, 135 (1987).
- B. S. Kay, Application of linear hyperbolic PDE to linear quantum fields in curved space-times: Especially black holes, time machines and a new semilocal vacuum concept, in Journées Équations aux dérivées partielles, Nantes, 5 au 9 juin 2000, GDR 1151 (CNRS), IX-1 (2000), arXiv:gr-qc/0103056.
- Y. Décanini and A. Folacci, Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension, Phys. Rev. D 78, 044025 (2008).
- W. K. Wootters, Entanglement of formation of an arbitrary state of two qubits, Phys. Rev. Lett. 80, 2245 (1998).
- M. Nielsen and I. Chuang, Quantum Computation and Quantum Information, Cambridge Series on Information and the Natural Sciences (Cambridge University Press, Cambridge, England, 2000).
- M. Horodecki, P. Horodecki, and R. Horodecki, Separability of mixed states: Necessary and sufficient conditions, Phys. Lett. A 223, 1 (1996).
- H. Ollivier and W. H. Zurek, Quantum discord: A measure of the quantumness of correlations, Phys. Rev. Lett. 88, 017901 (2001).
- L. Henderson and V. Vedral, Classical, quantum and total correlations, J. Phys. A 34, 6899 (2001).
- https://github.com/khalil753/quench/.
- Alexander R. H. Smith, Detectors, reference frames, and time, Ph.D. thesis, University of Waterloo, 2017.
- Z. Liu, J. Zhang, and H. Yu, Entanglement harvesting of accelerated detectors versus static ones in a thermal bath, Phys. Rev. D 107, 045010 (2023).