Composite Quantum Systems| Composite Quantum Systems |
In General
> s.a. Composite Systems [general theory, and internal degrees of freedom];
Individuality; quantum states;
spin models.
* Idea: Considering a quantum system
as composed of subsystems A and B means treating its Hilbert space
as the tensor product \(\cal H\) = \(\cal H\)A
⊗ \(\cal H\)B.
* Rem: The view that
the physical world forms a compositional hierarchy does not stand up
to a close examination of how physics has treated composition.
@ General references:
Wilce IJTP(90);
Coecke FP(98)qp/01,
IJTP(00)qp [characterization];
Kummer IJTP(99) [2 spin-\(1\over2\) particles, state space];
Aerts IJTP(00)qp/01 [paradox],
& Valckenborgh IJTP(04) [failure of quantum mechanics];
Johnson mp/06 [formalism];
Blanchard & Brüning PLA(06) [structure of states, envariance];
Albeverio et al RPMP(07) [local invariants];
Blasone et al IJMPA(09) ['t Hooft's quantization proposal];
Khrennikov a0905 [classical vs quantum descriptions, and entanglement];
Jeknić-Dugić et al a1306 [systematic account of decomposition];
Healey SHPMP(13) [conceptual];
Wood & Zych a1911
[states with minimal uncertainty in spacetime].
@ Subsystems: Orlov PRL(99) [measurement and indeterminism];
Zanardi et al PRL(04)qp/03 [observable-induced partition];
Zanardi et al PRL(04) [partition induced by observables];
Petz RPMP(07) [complementary];
Jordan a0710 [maps describing evolution];
Alicki et al PRA(09)-a0902 [formalism in terms of completely positive maps and correlation functions];
Fields a0906
[consistency of decomposition and consequences];
Fortin & Lombardi FP(14) [partial traces and reduced states];
Jaeger FP(14) [identification of parts, and condition for elementarity];
Stokes et al JMO(17)-a1602 [identifying subsystems using Clausius' second law of thermodynamics];
> s.a. entanglement entropy;
open systems.
@ Correlations:
Kübler & Zeh AP(73);
Linden et al qp/02 [n-way].
@ Entanglement: Hubeny et al a1812 [based on relations between subsystem entropies];
> s.a. entangled systems [multipartite].
> Related topics:
see diffraction; entropy; Envariance;
Mereology; mixed states;
observables [subdynamics]; particle statistics
[including identical composite objects]; renormalization;
scattering.
Few Degrees of Freedom
> s.a. Born-Oppenheimer Approximation.
@ General references: Thirring 81;
Glöckle 83;
Parker & Doran qp/01-proc [2-particle basis and entanglement];
Greene PT(10)mar [universality];
Rohwer et al JPA(10)
[objects with spatial extent and structure, non-commutative quantum mechanics];
Sancho AP(13)-a1307
[optical properties of multiparticle systems in collective and entangled states vs product states].
@ Two-body problem: Droz-Vincent PLA(90) [relativistic, in constant B field];
Torres et al JMP(10)-a0911 [two atoms in a cavity, concurrence and purity];
Chacón-Acosta & Hernández a1110 [hydrogen atom, semiclassical treatment];
Harshman AIP(12)-a1210 [observables and entanglement].
@ Three-body problem / systems:
Mohr et al AP(06);
Guevara et al PRL(12)-a1110
+ news pw(12)jun [three-body states];
Turbiner et al JMP(18)-a1707 [in d dimensions];
synopsis Phy(18)jun [bosons confined in a one-dimensional system];
> s.a. Efimov Effect; Three-Body Forces.
@ Other few-particle systems: Wyderka et al PRA(17)-a1703 [4-particle states and 2-particle marginals].
@ Molecules: Arndt et al Nat(99)oct
+ pn(99)oct [buckyballs, C60];
Armour et al PRP(05) [stability of few-charge systems];
Mitin a1508
[hydrogen molecular ion H2+];
Doma et al JMolP(16)-a1509 [H2 molecule and
H2+ ion with a magnetic field].
Other Types of Systems > s.a. fermions [composite];
many-particle quantum systems; particles [elementary vs composite].
@ Discrete + continuum, particle + field: Stenholm & Paloviita JMO(97)qp;
Aguiar Pinto & Thomaz JPA(03)qp/02 [decay];
Kupsch Pra(02)mp [particle + IR divergent boson];
Gardas JPA(11)-a1103 [spin-boson Hamiltonian];
> s.a. Dicke and Friedrichs Model;
entropy in quantum theory [Wehrl entropy].
@ Other systems: Quesne & Tkachuk PRA(10)-a0906 [with minimal length].
main page
– abbreviations
– journals – comments
– other sites – acknowledgements
send feedback and suggestions to bombelli at olemiss.edu – modified 14 nov 2020