Abstract
We analyze the dynamics of N-qubit systems in the measurement space under the action of symmetric Hamiltonians. We show that the evolution of the discrete distribution function, representing the global properties of multipartite states, becomes quasicontinuous in the macroscopic limit N ≫ 1. The shorttime dynamics can be approximately described as a propagation along “classical” trajectories in the measurement space.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
C. K. Zachos, D. B. Fairle, and T. L. Curtright, Quantum Mechanics in Phase Space, World Scientific, Singapore (2005).
J. E. Moyal, Proc. Camb. Phil. Soc., 45, 99 (1949).
W. K. Wootters, Ann. Phys., 176, 1 (1987).
K. S. Gibbons, M. J. Hoffman, and W. K. Wootters, Phys. Rev. A, 70, 062101 (2004).
A. Vourdas, Rep. Prog. Phys., 67, 267 (2004).
J. P. Paz, A. J. Roncaglia, and M. Saraceno, Phys. Rev. A, 72, 012309 (2005).
C. Cormick, E. F. Galvao, D. Gottesman, et al., Phys. Rev. A, 73, 012301 (2006).
A. B. Klimov, C. Muñoz, and J. L. Romero, J. Phys. A: Math. Gen., 39, 14471 (2006).
G. Bjork, A. B. Klimov, and L. L. Sánchez-Soto, Prog. Opt., 51, 470 (2008).
A. B. Klimov and C. Muñoz, J. Opt. B: Quantum Semiclass. Opt., 7, S588 (2005).
D. Galetti and M. Ruzzi, J. Phys. A: Math. Gen., 33, 2799 (2000).
G. Tóth, W. Wieczorek, D. Gross, et al., Phys. Rev. Lett., 105, 250403 (2010).
T. Moroder, P. Hyllus, G. Tóth, et al., New J. Phys., 14, 105001 (2012).
A. B. Klimov and C. Muñoz, Phys. Rev. A, 89, 052130 (2014).
M. Gaeta, C. Muñoz, and A. B. Klimov, Phys. Rev. A, 93, 062107 (2016).
C. Muñoz, I. Sainz, and A. B. Klimov, J. Phys. A: Math. Theor., 53, 245302 (2020).
A. B. Klimov, J. L. Romero, and H. de Guise, J. Phys. A: Math. Theor., 50, 323001 (2017).
C. Muñoz, A. B. Klimov, and L. L. Sanchez-Soto, J. Phys. A: Math. Theor., 45, 244014 (2012).
A. B. Klimov and C Muñoz, Phys. Scr., 87, 038110 (2013).
A. B. Klimov, C. Muñoz, and L. L. Sánchez-Soto, Phys. Rev. A, 80, 043836 (2009).
D. Galetti and M. A. Marchiolli, Ann. Phys., 249, 454 (1996).
M. Ruzzi, M. A. Marchiolli, and D. Galetti, J. Phys. A: Math. Gen., 38, 6239 (2005).
M. A. Marchiolli, M. Ruzzi, and D. Galetti, Phys. Rev. A, 72, 042308 (2005).
J. M. Renes, R. Blume-Kohout, A. J. Scott, and C. M. Caves, J. Math. Phys., 45, 2171 (2004).
G. S. Agarwal, R. R. Puri, and R. P. Singh, Phys. Rev. A, 56, 2249 (1997).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Muñoz, C., Klimov, A.B. The Macroscopic Evolution in the Measurement Space. J Russ Laser Res 43, 60–70 (2022). https://doi.org/10.1007/s10946-022-10023-8
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10946-022-10023-8