Embedding quantum systems with a non-conserved probability in classical environments

被引:13
作者
Sergi, Alessandro [1 ,2 ]
机构
[1] Univ KwaZulu Natal, Sch Chem & Phys, ZA-3209 Pietermaritzburg, South Africa
[2] Natl Inst Theoret Phys NITheP, Kwa Zulu, South Africa
基金
新加坡国家研究基金会;
关键词
Non-Hermitian Hamiltonians; Non-unitary dynamics; Quantum-classical dynamics; NON-HERMITIAN HAMILTONIANS; MULTIPHOTON IONIZATION; NUCLEAR REACTIONS; UNIFIED THEORY; DYNAMICS; MECHANICS; SYMMETRY; POTENTIALS; RESONANCES; SCATTERING;
D O I
10.1007/s00214-015-1679-6
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Quantum systems with a non-conserved probability can be described by means of non-Hermitian Hamiltonians and non-unitary dynamics. In this paper, the case in which the degrees of freedom can be partitioned in two subsets with light and heavy masses is treated. A classical limit over the heavy coordinates is taken in order to embed the non-unitary dynamics of the subsystem in a classical environment. Such a classical environment, in turn, acts as an additional source of dissipation (or noise), beyond that represented by the non-unitary evolution. The non-Hermitian dynamics of a Heisenberg two-spin chain, with the spins independently coupled to harmonic oscillators, is considered in order to illustrate the formalism.
引用
收藏
页数:9
相关论文
共 77 条
[1]   Non-Hermitian nanophotonic and plasmonic waveguides [J].
Alaeian, Hadiseh ;
Dionne, Jennifer A. .
PHYSICAL REVIEW B, 2014, 89 (07)
[2]   NON-HERMITIAN TUNNELING OF OPEN QUANTUM-SYSTEMS [J].
ANGELOPOULOU, P ;
BASKOUTAS, S ;
JANNUSSIS, A ;
MIGNANI, R ;
PAPATHEOU, V .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1995, 9 (17) :2083-2104
[3]   NON-HERMITIAN QUANTUM DYNAMICS [J].
BAKER, HC ;
SINGLETON, RL .
PHYSICAL REVIEW A, 1990, 42 (01) :10-17
[4]   NON-HERMITIAN QUANTUM-THEORY OF MULTIPHOTON IONIZATION [J].
BAKER, HC .
PHYSICAL REVIEW A, 1984, 30 (02) :773-793
[5]   COMPLEMENTARITY IN GENERIC OPEN QUANTUM SYSTEMS [J].
Banerjee, Subhashish ;
Srikanth, R. .
MODERN PHYSICS LETTERS B, 2010, 24 (24) :2485-2509
[6]   TUNNELING PROCESS FOR NON-HERMITIAN SYSTEMS - THE COMPLEX-FREQUENCY INVERTED OSCILLATOR [J].
BASKOUTAS, S ;
JANNUSSIS, A ;
MIGNANI, R ;
PAPATHEOU, V .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (17) :L819-L824
[7]   Making sense of non-Hermitian Hamiltonians [J].
Bender, Carl M. .
REPORTS ON PROGRESS IN PHYSICS, 2007, 70 (06) :947-1018
[8]   Real spectra in non-Hermitian Hamiltonians having PT symmetry [J].
Bender, CM ;
Boettcher, S .
PHYSICAL REVIEW LETTERS, 1998, 80 (24) :5243-5246
[9]   Modeling of open quantum dots and wave billiards using imaginary potentials for the source and the sink [J].
Berggren, Karl-Fredrik ;
Yakimenko, Irina I. ;
Hakanen, Jani .
NEW JOURNAL OF PHYSICS, 2010, 12
[10]   SEMICLASSICAL PHYSICS AND QUANTUM FLUCTUATIONS [J].
BOUCHER, W ;
TRASCHEN, J .
PHYSICAL REVIEW D, 1988, 37 (12) :3522-3532