Quantum Statistical Mechanics| Quantum Statistical Mechanics |
In General
> s.a. equilibrium [and approach to equilibrium]; quantum measurement
[Zeno]; Relaxation; states in quantum statistical mechanics.
@ Texts: Khinchin 60;
Kadanoff & Baym 62;
Thirring 83;
Ruelle mp/01-ln [operator algebras, spin];
Schieve & Horwitz 09 [r CP(10)#6];
Bogoliubov & Bogoliubov 09;
Cohen a1107-ln
[including non-equilibrium, fluctuations and response];
Majewski AMP(17)-a1608-ln [and non-commutative calculus];
Ebeling & Pöschel 19.
@ Foundations: Casati NCB(99);
Fresch & Moro JChemP(10)-a0910 [thermodynamic properties in quantum pure states];
Gogolin MSc-a1003;
Chiribella & Scandolo a1608
[based on entanglement, and generalized quantum theories];
Zurek PRP(18)-a1806 [without ensembles, using entanglement].
@ Geometrical approaches: Brody & Hughston PRS(98)gq/97;
Ichinose JPCS(10)-a1010 [path integral in Euclidean time].
@ Non-equilibrium theory: Nachbagauer EPJC(99)ht/98 [dissipative time evolution];
Gritsev et al NJP(10)-a0912 [many-body systems, scaling approach];
Tasaki et al a1110 [infinitely extended systems];
Attard a1406
[stochastic, dissipative Schrödinger equation];
Di Stefano et al PRB(18)-a1704 [continuously-measured system];
Khemani et al PRX(17) [many-body localized phase, and the growth of a quantum entanglement network];
Sgroi et al a2004 [reinforcement learning approach].
@ Other generalizations: Sukhanov & Golubeva TMP(09) ["\(\hbar\)-k dynamics"];
Bianchi et al GRG(17)-a1306 [generally covariant, in Oeckl's general-boundary formalism].
Quantum-Classical Relationship
@ General references: Prugovečki PhyA(78) [scattering];
Wreszinski & Scharf CMP(87);
de Carvalho & Cavalcanti AIP(98)qp [semiclassical];
Kowalski et al PhyA(09) [quantified by Tsallis' deformation parameter q].
@ Entanglement and thermal states: Popescu et al nPhys(06)qp/05;
Jeong & Ralph PRL(06).
Systems > s.a. models in statistical mechanics;
quantum systems; spin models [correlations in thermal states].
@ Gas: LeClair JPA(07)ht/06 [in terms of dynamical filling fractions].
@ Small systems: Lostaglio et al PRL(15)-a1409 [statistical independence, work from absence of correlations];
Ali & Zhang a1803 [single particle];
> s.a. non-equilibrium statistical mechanics.
@ Thermofield dynamics:
Laflamme NPB(89) [and geometry];
Chu & Umezawa IJMPA(94) [review];
Lawrie JPA(94) [and quantum statistical mechanics];
Amorim et al a2005 [spin-1/2 fields in phase space, phenomenology];
> s.a. casimir effect; non-commutative gravity;
quantum field theory phenomenology.
Related Topics
> s.a. quantum entropy and entanglement entropy.
@ General references:
Lloyd PhD(88)-a1307 [pure-state quantum statistical mechanics];
Gottlieb qp/01 [classical and quantum disorder];
Sankovich mp/01 [functional integrals];
Khrennikov JPA(05)qp-in,
qp/05-conf [pre-quantum model];
Gordon et al NJP(10) [equilibrium by quantum observation];
Attard a1401
[decoherence, wave-function collapse, and the von Neumann density matrix];
Klimenko PhyA(14)-a1402 [note on invariant properties, CPT];
Attard a1404 [first-principles derivation];
Deutsch et al a1806 [quantum bound on large fluctuations];
> s.a. stochastic quantization.
@ Formalism, approaches: Balian SHPMP(05) [and information theory];
Edgal & Huber PhyA(06) [new approach];
Sanz CJC(14)-a1402 [effective Markovian description];
Attard a1811,
a2005 [in classical phase space];
Shekaari & Jafari a2001 [finite-temperature quantum mechanics].
@ Entanglement thermodynamics:
Horodecki et al PRL(02);
Korbicz et al JPA(08)-a0704;
Vedral a0706 [dissipative systems];
Brandão & Plenio Nat(08)-a0810 [and the second law];
Jennings & Rudolph PRE(10)-a1002 [and the arrow of time];
Alishahiha et al JHEP(13)-a1305 [laws];
Schliemann JSM(14)-a1405;
Chiribella & Scandolo NJP(15)-a1504 [in general probabilistic theories];
Kundu & Pedraza JHEP(16)-a1602 [entanglement at finite temperature].
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