Abstract
Every equilibrium state can be represented by a typical pure quantum state, the thermal pure quantum (TPQ) state. I particularly focus on the TPQ state which corresponds to the canonical ensemble and show that any physical quantities of statistical-mechanical interest are obtained from a single realization of the TPQ state. With these findings, I formulate statistical mechanics based on the TPQ state.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
S. Sugiura, A. Shimizu, Phys. Rev. Lett. 108, 240401 (2012)
S. Sugiura, A. Shimizu, Phys. Rev. Lett. 111, 010401 (2013)
H.B. Callen, Thermodynamics (John Wiley and Sons, New York, 1960)
M. Hyuga, S. Sugiura, K. Sakai, and A. Shimizu Phys. Rev. B 90, 121110(R) (2014)
M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000)
Y. Takahashi, H. Umezawa, Int. J. Mod. Phys. B 10, 1755 (1996)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer Science+Business Media Singapore
About this chapter
Cite this chapter
Sugiura, S. (2017). Canonical Thermal Pure Quantum State. In: Formulation of Statistical Mechanics Based on Thermal Pure Quantum States. Springer Theses. Springer, Singapore. https://doi.org/10.1007/978-981-10-1506-9_3
Download citation
DOI: https://doi.org/10.1007/978-981-10-1506-9_3
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-1505-2
Online ISBN: 978-981-10-1506-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)