Abstract
Thermodynamic equilibrium of a system is considered as a consequence of quantum entanglement of the vacuum state of the system. An explicit mathematical model of multiparticle entangled pure quantum states is developed and analyzed. Within the framework of this model, the measurement process gives rise to probability distributions that exactly correspond to thermal equilibrium of the system in a thermostat.
Similar content being viewed by others
References
L. Boltzmann, Selected Scientific Papers (Nauka, Moscow, 1984) [in Russian].
A. Yu. Bogdanov, Yu. I. Bogdanov, and K. A. Valiev, Vestn. Mosk. Univ., Ser. Vychisl. Mat. Kibern. (2006); A. Yu. Bogdanov, Yu. I. Bogdanov, and K. A. Valiev, quant-ph/0512062.
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics (Nauka, Moscow, 1995; Pergamon, Oxford, 1980), Part 1.
Yu. I. Bogdanov, Opt. Spektrosk. 96(5), 735 (2004) [Opt. Spectrosc. 96 (5), 668 (2004)].
M. B. Mensky, Quantum Measurements and Decoherence: Models and Phenomenology (Kluwer Academic, Dordrecht, 2000; Fizmatlit, Moscow, 2001).
H. D. Zee, Séminaire Poincaré, 115 (2005).
W. H. Zurek, Séminaire Poincaré, 1 (2005).
K. A. Valiev and A. A. Kokin, Quantum Computers: Hopes and Reality, 2nd ed. (Izhevsk, RHD, 2004) [in Russian].
A. Yu. Bogdanov, Yu. I. Bogdanov, and K. A. Valiev, Mikroelektronika 35(1), 11 (2006).
I. S. Gradshteĭn and I. M. Ryzhik, Tables of Integrals, Series, and Products, 4th ed. (Fizmatlit, Moscow, 1962; Academic, New York, 1980).
N. Ja. Vilenkin, Special Functions and the Theory of Group Representations (Nauka, Moscow, 1991; Am. Math. Soc., Providence, R.I., 1968), Vol. 22.
V. V. Migulin, V. I. Medvedev, E. R. Mustel’, and V. N. Parygin, Basics of the Oscillation Theory (Nauka, Moscow, 1988) [in Russian].
Author information
Authors and Affiliations
Additional information
Original Russian Text © A.Yu. Bogdanov, Yu.I. Bogdanov, K.A. Valiev, 2007, published in Optika i Spektroskopiya, 2007, Vol. 103, No. 1, pp. 36–43.
Rights and permissions
About this article
Cite this article
Bogdanov, A.Y., Bogdanov, Y.I. & Valiev, K.A. Multiparticle entangled quantum states and modeling of thermodynamic statistical distributions. Opt. Spectrosc. 103, 31–38 (2007). https://doi.org/10.1134/S0030400X07070053
Received:
Issue Date:
DOI: https://doi.org/10.1134/S0030400X07070053