Kinetic equation, non-perturbative approach and decoherence free subspace for quantum open system

Bi Qiao, H.E. Ruda, M.S. Zhan and X.H. Zeng

Physica A: Statistical Mechanics and its Applications, 2003, vol. 322, issue C, 345-358

Abstract: A Schrödinger (Liouville) type of equation for an quantum open system is presented. The equation has a correlated part and many Master equations can be derived from it as special cases. Most significantly, it can be applied to construct a decoherence-free subspace for quantum computing. The original Schrödinger (Liouville) equation for the total system is related to it by a non-unitary similarity transformation, which enables us to propose a non-perturbative method for solving the eigenvalue problem for the total Hamiltonian. In addition, it also enables one to uncover a simple procedure to treat the eigenvalue problem of an open system under strong interaction. The correlated part of the equation is not necessarily self-adjoint, so that there exists a complex spectrum for the corresponding Hamiltonian (Liouvillian) which enables the time evolution of states to be asymmetric. This then exposes just the correlation required to produce evolution, which coincides with the second law of thermodynamics.

Keywords: Schrödinger (Liouville) Equation; Quantum open system; Evolution; Correlation; Unperturbation (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437102018095
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:322:y:2003:i:c:p:345-358

DOI: 10.1016/S0378-4371(02)01809-5

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().