Macroscopic Quantum Systems |
In General > s.a. classical limit [including correspondence principle, localization];
classical-quantum relationship; many-particle quantum systems.
* Idea: A
macroscopic quantum state emerges in a sample of matter when the
particles' thermal wavelength approaches the interparticle spacing; The
particles then lose their individual identities and merge into a single
correlated quantum state of matter, whose behavior differs markedly from
that of a collection of distinguishable pointlike particles.
* Examples:
Superfluid helium, superconductors, gaseous Bose-Einstein condensates,
and the interiors of neutron stars.
@ General references: Bose et al PRA(99);
Gomatam JCS(99)-a0708;
Carati & Galgani FP(01);
Sewell 02;
Björk & Mana JOB(04)qp/03 [criterion];
Biswas qp/03;
Pitowsky PRA(04);
Helland qp/05;
Khrennikov a0705 [quantumlike description];
Schützhold PoS-a0712 [back-reaction];
Zeh EPJH(11)-a0804 [Feynman, and gravitational fields];
Chou et al JPCS(11)-a1106 [framework, large-N expansion];
Brezinski & Rupnick a1312;
Sekatski et al PRL(14)-a1402 [quantumness];
Fröwis et al RMP(18)-a1706 [rev];
> s.a. experiments; logic.
@ Condensed-matter type: Bene qp/97/PRL;
Balucani et al PRP(03) [correlations];
Grandy FP(04),
FP(04),
FP(04) [time evolution];
Khrennikov FP(05)qp/04 [concept];
Pitowsky PRA(04) ["combinatorial"];
Bruus & Flensberg 04;
Lipparini 08 [fluid];
Caldeira 14 [magnetism, superconductivity, dissipation];
Quandt-Wiese a1701 [solids in quantum superpositions];
news pw(18)jun [nanocrystals];
> s.a. condensed-matter physics.
@ Examples: O'Connell Nat(10)apr
+ news ns(10)mar [mechanical resonator];
Jääskeläinen PRA(12) [spherical mass, gravitational self-localization];
Chen JPB(13)-a1302 [optomechanics, theory and experimental concepts];
Hu et al PRA(17)-a1606 [violation of classical physics in a mesoscopic system];
Stamper-Kurn et al Nat(16)sep-a1607,
reply Kovachy et al a1607
[macroscopic quantum superpositions still experimentally unestablished].
@ Quantum behavior: news nat(07)nov;
Banks a0907 [locality and deviations from classical behavior];
Poot & van der Zant PRP(12)-a1106;
Yadin & Vedral PRA(15)-a1407 [new quantumness criterion];
Kryukov JMP(17)-a1710 [evolution];
Dalton a1808 [Bell non-locality].
@ Other foundations / interpretations: Finkelstein qp/98 [many-worlds and pilot-wave];
Lanz et al JPA(07)qp;
> s.a. quantum foundations.
@ And measurement: Leggett PTPS(80);
Prosperi IJTP(94);
Jeong et al JOSA(14)-a1404 [detecting macroscopic quantumness];
news cosmos(18)may [quantum drum from silicon nitride membrane and light];
> s.a. Leggett-Garg Inequality.
@ Related topics: Van Zandt AJP(77)jan [and interference];
Banks a0809 [and locality];
Galvan a0910 [permanent spatial decomposition];
Fröwis & Dür NJP(12)-a1205 [measure of macroscopicity for quantum states];
Altaisky NAP-a1607 [two partial orders, and consciousness].
> Related topics:
see classical mechanics [non-quantum systems];
decoherence; Ehrenfest Time;
electricity [thermoelectric devices]; Emergent Systems;
origin of quantum mechanics; quantum chaos;
quantum mechanics formalism [ambiguities]; quantum statistical
mechanics [relationship with classical]; Superfluids.
Systems at the Classical-Quantum Boundary
> s.a. types of states [semiclassical].
@ General references: Aerts & Durt FP(94) [intermediate systems];
Baseia et al PLA(98) [obtaining non-classical states];
Frasca JPCS(07)qp/06 [and thermodynamic limit];
Doubochinski & Tennenbaum a0711-conf [amplitude quantization, or Macroscopic Quantum Effect, as bridge];
Margolus a0805;
Aristov & Nikulov a1006-proc [nanostructures];
Kofler & Brukner a1009 [limits to applicability of quantum mechanics];
Chafin a1308 [wave functions for classical bodies];
Jeong et al OC(15)-a1407 [quantumness];
Zinner EPJwc(16)-a1510 [1D cold atoms, few- to many-body crossover].
@ Specific systems: Alicki PRA(02)qp/01 [fullerenes];
Tebbenjohanns et al PRL(19) [optically levitated nanosphere].
@ Emergence of macroscopic realism:
Portolan et al PRA(06) [for photons];
Kofler & Brukner PRL(07)qp/06;
Kofler & Brukner PRL(08)-a0706 [conditions for quantum violation of macroscopic realism];
Nimmrichter & Hornberger PRL(13)
+ news ns(13)apr,
pw(13)apr [degree of macroscopicity];
Colin et al PRA(16)-a1403 [spread in position of a freely falling nanosphere];
Clemente & Kofler PRA(15)-a1501 [conditions for macroscopic realism];
Romero-Rochin a1504.
@ Dequantization: Isidro JPA(02)ht/01;
Abrikosov et al AP(05)qp/04 [geometric].
> Related topics:
see Correspondence Principle; fluctuations;
Superpositions [meso- and macroscopic].
Coupled / Hybrid Classical and Quantum Systems
> s.a. states in quantum field theory [hybrid field systems].
* Issue: Is a system with
coupled classical and quantum degrees of freedom consistent? It can be,
provided it is stochastic.
* Rem: Hybrid systems are
sometimes used as a tool to simplify the analysis of many-body systems,
as in mean-field theory.
@ General references:
Blanchard & Jadczyk PLA(93) [model];
Anderson qp/95-proc
[backreaction of quantum variables on quasiclassical ones];
Salcedo PRA(96);
Halliwell PRD(98)qp/97 [from decoherent histories];
Prezhdo & Kisil PRA(97)qp/96;
Antoniou et al MPLA(99) [Hamiltonian];
Caro & Salcedo PRA(99) [impediments];
Dias JPA(01)qp/99 ["half quantization"];
Diósi qp/99-in;
Peres & Terno PRA(01)qp/00;
Prezhdo & Brooksby PRL(01),
comment Salcedo PRL(03)qp [quantum backreaction and the Bohmian interpretation];
Kowalski et al PLA(02);
Sahoo JPA(04)qp/03 [observable algebras];
Kisil EPL(05)qp [2 copies of Heisenberg group];
Hall & Reginatto PRA(05)qp [classical and quantum ensembles];
Grigorescu CJP(07)qp/06 [quantum particle + classical environment, variational principle];
Zhang & Wu PRL(06) [Lorentz-like geometric force];
Zhan et al JChemP(08)-a0803 [approaches];
Hall PRA(08)-a0804 [consistent formulation];
Reginatto & Hall JPCS(09)-a0905;
Gerasimenko JChemP(09)-a0909;
Elze et al JPCS(11)-a1103 [path-integral formulation],
PRD(12)-a1111;
Salcedo PRA(12)-a1201 [consistency requirement];
Elze JPCS(12)-a1202 [four questions];
Barceló et al PRA(12)-a1206;
Elze JPCS(13)-a1306 [summary];
Gil & Salcedo PRA(17)-a1612 [canonical structure];
Gay-Balmaz & Tronci a1802 [from Koopman-von Neumann theory];
Bhole et al JPComm(20)-a1812 [witnesses of non-classicality];
Amin & Walton a2009 [hybrid quantum-classical bracket];
Tronci & Gay-Balmaz LNCS-a2104,
LNCS-a2104 [from Koopman-van Hove theory].
@ Inconsistency: Terno FP(06)qp/04,
reply Sudarshan qp/04;
Ahmadzadegan et al PRA(16)-a1510 [robustness of classicality];
Ares et al a1801;
Braak & Mannhart a1811
[inconsistency between quantum theory and thermodynamics].
@ Examples: Semenov et al JPB(06)qp/05 [oscillator + thermal bath];
Metaxas PRD(07)ht/06 [two scalar fields, path-integral approach];
Aguilar & Berglund JMP(08)-a0805 [two-level system + classical noise];
Mousavi & Golshani PS(08) [2-level atom + classical field];
Poma & Delle Site PRL(10) [molecular models, path-integral description];
Chua et al PRA(11)-a1109 [harmonically coupled particles];
Treutlein et al a1210-ch;
Restrepo et al PRL(14) [optomechanical resonator with a quantum dot inside];
Sergi TCA(15)-a1502 [systems with light and heavy degrees of freedom, non-Hermitian];
Koide a1602 [simplified model of QED];
Rubin a1610 [density matrix embedding theory as a tool];
news pw(17)sep
[measuring quantized mechanical oscillations];
Reginatto & Hall a1809 [quantum fields and classical gravity];
Oppenheim et al a2011 [toy models];
> s.a. Mean-Field Theory.
@ Ground state and coherent state: McDermott & Redmount qp/04 [2 oscillators].
@ Intervention, measurement: Diósi & Halliwell PRL(98)qp/97;
Peres PRA(00),
PRA(00);
> s.a. types of measurements [continuous].
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