Semiclassical Effects and Degree of Quantumness| Semiclassical Effects and Degree of Quantumness |
Specific Effects, Concepts, and Examples
> s.a. classical mechanics [effective dynamics]; fluctuations;
operators; phase transition; quantum
information.
* Continuous spontaneous localization:
In the GRW prescription, obtained with non-linear and stochastic effects.
@ Continuous spontaneous localization:
Ghirardi et al PRD(86) [comment
Joos PRD(87)
+ reply PRD(87)],
FP(88);
Benatti et al NCB(87) [and measurement];
Bell in(89);
Ghirardi et al FP(90),
PRA(90);
Pearle PRA(93),
in(97)qp/98.
@ Measurement and decoherence:
Mensky PU(98)qp,
qp/98-proc,
00;
Furuta PRA(01) [model];
Bhattacharya et al PRA(03)qp/02;
Zurek RMP(03);
Ford et al PRA(01)qp/03;
Schlosshauer RMP(04)qp/03 [and interpretations];
Ghose et al PRA(05)qp/04;
> s.a. decoherence; types of measurement.
@ And the correspondence principle:
Habib et al PRL(98) [non-linear dynamics];
Bernal et al a1101 [mathematical formulation, and harmonic oscillator].
@ Trajectories:
Brun et al PLA(97);
Greenbaum et al PRE(07)-a0705 [vs phase space distributions];
Nölle a1005 [geometric approach].
@ Measures: Fedichkin et al SPIE(03)cm.
@ Non-classical effects: Resch et al PRA(01) [in single-γ detection];
Sikivie & Todarello PLB(17)-a1607 [duration of classicality].
@ Examples: Brun et al PRL(03)qp/02,
PRA(03)qp/02,
PRA(03)qp/02 [random walk];
Man'ko et al PLA(05);
Benet et al PRA(07)qp/06 [chemical reactions];
Jasiak et al NJP(09) [electrons in thin metal films];
Teta EJP(10)-a0905 [straight tracks in a cloud chamber];
news seed(09)jul [Caltech experiment];
Radonjić et al PRA(12) [quantum spin].
> Related topics:
see locality; Loschmidt Echo;
matter [stability]; quantum fields;
quantum chaos; relativistic quantum theory;
scattering; SQUIDs.
> States and simple models:
see Baker's Map; coherent
states; quantum states.
> Systems:
see composite systems;
ergodic systems; macroscopic
systems; photons; quantum
systems; spin models; spin systems.
Related
pages: see quantum state evolution; relationship classical-quantum theory;
semiclassical limit; semiclassical states.
Quantum vs Classical States, Quantumness and Classicality
> s.a. correlations [quantum discord];
quantum measurement.
* Measures / degree: Some
notions used to quantify quantumness are contextuality and negativity
of the Wigner function.
* Idea: Quantum states
differ from classical ones in their localization, interference properties
and entanglement; One way to check when a system will start to deviate from
its classical behavior is to look for when the quantum Wigner function
deviates from the corresponding classical phase-space probability density.
@ Quantum vs classical states: Loris & Sasaki PLA(04) [eigenvalues vs normal modes];
Yoder AJP(06)may [probability densities];
Hen & Kalev qp/07 [quantum states approaching classical distributions];
Kiesel et al PRA(08)-a0804 [based on Glauber-Sudarshan P-function];
Ellis AP(12)-a1108 [and contextuality];
Kiesel PRA(13)-a1303,
Park et al PRL(15)-a1505 [in terms of phase-space distributions];
Egloff et al PRX(18) [framework];
> s.a. distances.
@ Quantumness and classicality: Anastopoulos PRD(99)qp/98;
Hall PRA(00) [Fisher information];
Costa Dias JMP(02)qp/99;
Malbouisson & Baseia PS(03)qp/02 [field theory];
Avelar et al qp/03;
Zurek qp/03 [information and environment];
Alicki et al JPA(08) [quantumness witnesses];
Gehrke et al PRA(12)-a0904 [quantification];
Giraud et al NJP(10)-a1002;
Zhu et al PLA(11)-a1010;
Schmid & Duenki a1101;
Tammaro FP(12)-a1110 [non-classical, non-quantum theories];
Kot et al PRL(12)-a1110 [breakdown of a classical description];
Fazio et al PRA(13)-a1201 [via anticommutators];
Steinhoff a1204;
Facchi et al JPA(14)-a1309 [from algebra of observables];
Gittsovich et al PRA(15)-a1412 [macroscopic superposition states];
Reusch et al PRA(15)-a1501 [entanglement witnesses, indistinguishable particles];
Fresta et al PRA(15)-a1508;
Bardet a1511 [classical and quantum parts of an environment];
Castrillón et al a1608 [for single systems];
Delfosse et al NJP(17)-a1610 [contextuality and negativity of the Wigner function];
Alexanian PRA(16)-a1610 [different criteria];
Bose a1701 [and non-Gaussianity, in terms of Wehrl entropy];
Tan et al a1906 [hierarchy of non-classicality measures];
Abbasli et al a2001
[degree of classicality, in quasiprobability representations];
Park et al a2005 [hierarchy of criteria in phase space];
Milz et al PRX(20) [non-Markovian processes];
> s.a. correlations; types of distances.
@ And entanglement: Everitt et al NJP(05);
Groisman et al qp/07;
Piani & Adesso PRA(12)-a1110;
Facchi et al JPA(12)-a1111;
Killoran et al PRL(16)-a1505.
@ For specific types of states / systems:
Korbicz et al PRL(05)qp/04 [harmonic oscillator];
Girolami et al JPA(11)-a1008 [non-classical correlations for two-qubit mixed states];
Puri PRA(12)-a1410 [for a system of spin-1/2 particles];
Trapani et al PRA(15)-a1411 [oscillator + environment, dynamics of classicality];
Miranowicz et al PRA(15)-a1502 [single-qubit states];
Kumari & Ghose PRA(18)-a1802 [chaotic systems, near periodic orbits];
Marian & Marian a1909 [quantum optics].
@ Quantumness vs classicality tests:
Alicki & Van Ryn JPA(08);
Brida et al OE(08)-a0804;
Luís PRA(10);
Ferro et al EPJD(18)-a1501 [interferometric setup];
Hameedi et al a1511 [unconditional experimental test];
Marletto & Vedral a2003 [mediating the generation of entanglement].
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