Quantum Zeno Effect| Quantum Zeno Effect |
In General
> s.a. measurements and types of measurements.
* Idea: (Also called watchdog effect)
A continuously–or almost–watched particle (unstable system) never decays,
because the state keeps collapsing back to the original state upon observation.
* Quantum Zeno subspaces: Interaction
with another system at thermal equilibrium induces the partitioning of the Hilbert
space of a quantum system.
* Quantum Zeno dynamics: The time
evolution within the projected "quantum Zeno subspace" defined by the
measurement.
@ News, reviews: Maddox Nat(83)nov,
Pool Sci(89)nov;
Itano qp/06-proc [rev, and experiment];
Venugopalan JSE-a1211 [rev];
Pascazio OSID(14)-a1311-ln [tutorial].
@ General references: Misra & Sudarshan JMP(77),
Peres AJP(80)nov [proposal];
Kraus FP(81) [continuous observation];
Bunge & Kálnay NCB(83);
Joos PRD(84);
Damnjanović PLA(90),
PLA(90);
Petrosky et al PLA(90);
Home & Whitaker JPA(92),
PLA(93);
Spiller PLA(94);
Nakazato et al PLA(95),
PLA(96)qp;
Pascazio FP(97) [origin];
Schulman FP(97),
PRA(98);
Pati & Lawande PRA(98)qp,
qp/98/PRL;
Toschek & Wunderlich EPJD(01)qp/00;
Wallace PRA(01) [computer model];
Gustafson qp/02 [history];
Atmanspacher et al JPA(03) [Z+aZ, nsc's];
Hotta & Morikawa PLA(04)qp [external observers];
Koshino & Shimizu PRP(05) [general measurements];
Wallden JPA(07)-a0704 [decoherent histories approach];
Zheng et al PRL(08) [without rotating-wave approximation];
Bagis a0906;
Facchi & Pascazio IJGMP(12)-a1110 [geometric description];
Arai & Fuda LMP(12);
Facchi & Ligabò JMP(17)-a1702 [long-time limit].
@ Zeno & anti-Zeno effects: Ruseckas & Kaulakys PRA(04) [general expression];
Chaudhry a1604 [general framework],
a1701 [with strong system-environment coupling].
@ Real / finite-time measurements: Ruseckas PLA(01)qp/02;
Ruseckas & Kaulakys PRA(01);
Egusquiza & Garay PRA(03)qp [real clocks];
Sokolovski PRA(10)-a1011 [and ergodicity];
Wang et al a2103 [critical measurement time].
@ Indirect measurements: Koshino & Shimizu PRA(03) [with finite errors];
Makris & Lambropoulos PRA(04)qp;
Hotta & Morikawa PRA(04),
criticism Wallentowitz & Toschek PRA(05),
reply Ozawa PLA(06)qp.
@ Other special cases: Peres & Ron PRA(90) [partial];
Hradil et al PLA(98) [infinitely frequent];
Delgado et al PRA(06)qp [distant detector].
@ Dynamical approach: Blanchard & Jadczyk PLA(93) [model from piecewise deterministic dynamics];
Pascazio & Namiki PRA(94);
Facchi et al PLA(00)qp,
PRL(01)qp/00,
PRA(02)qp/01;
Koshino PRA(05) [vs conventional formalism].
@ Classical limit: Facchi et al JPA(10)-a0911;
Wang et al a1003 [classical counterpart, optical example].
@ Related topics: Kitano PRA(97) [and adiabatic change];
Mancini & Bonifacio PRA(01) [from competing decoherence];
Schmidt JPA(02)mp [and von Neumann algebras],
in(03)mp;
Smerzi a1002,
PRL(12);
Militello et al PRA(11)-a1106 [partitioning of the Hilbert space into Zeno subspaces];
Militello PRA(12) [role of temperature];
Thilagam JChemP(13)-a1304 [and non-Markovian dynamics];
Kiilerich & Mølmer PRA(15)-a1506 [and parameter estimation];
> s.a. decoherence; experiments in quantum mechanics;
geometric phase; path integrals [amplitudes for spacetime regions].
Quantum Zeno Dynamics
* Idea: The continuing time
evolution that results from repeated measurements on a quantum system.
@ References: Facchi et al JPCS(09)-a0710;
Facchi & Pascazio JPA(08)-a0903 [rev];
Facchi & Ligabò JMP(10)-a0911;
Yu et al JPA(12) [scaling in many-body systems];
Altamirano et al NJP(17)-a1605 [and gravity];
Snizhko et al PRR(20)-a2003 [onset of the Zeno regime].
Examples and Applications > s.a. constrained systems;
Friedrichs Model; types of waves [rogue waves].
@ Examples: Mihokova et al PRA(97) [atoms];
Elattari & Gurvitz PRL(00)qp/99 [electron and quantum dot];
Balzer et al OC(00)qp/01,
Wunderlich et al ZN(01)qp [ions];
Luís PRA(03) [2-level system];
Schmidt JPA(03)mp/02 [in quantum statistical mechanics];
Koshino & Shimizu PRL(04) [exponentially decaying systems];
Dhar et al qp/05 [super-Zeno];
Maniscalco et al PRL(06) [Brownian motion];
Modi & Shaji PLA(07) [unstable system with two bound states];
Bernu et al PRL(08) [with light in a cavity];
Zhang et al PLA(13)-a1110 [spin systems subject to a mix of modulations and measurements];
Porras et al PRA(11)-a1110 [in wave packet diffraction spreading];
Wolters et al PRA(13)-a1301 [on a single solid-state spin, experiment];
Naikoo et al PRA(19)-a1811
[two coupled cavities, and non-classicality];
Becker et al a2010 [for open quantum systems].
@ And quantum interpretations:
de Gosson & Hiley a1010/FP [for a Bohm trajectory].
@ In quantum field theory:
Alvarez-Estrada & Sánchez-Gómez PLA(99)qp/98 [absence];
Bar IJTP(03)qp/01;
Facchi & Pascazio in(03)qp/02;
Rossi et al PRA(08)-a0710 [cavity QED];
Raimond et al PRA(12)-a1207 [field in a cavity];
> s.a. black-hole radiation.
@ Applications, effects: Yuasa et al JPSJ(03)qp/04,
JMO(04)qp [state purification];
De Liberato PRA(07)-a0705 [decay rate of a metastable but non-decaying system];
Monras & Romero-Isart QIC(10)-a0801 [and information control in spin chains];
Rossi et al PLA(09)-a0907 [and semiclassical evolution];
Wu & Lin PRA(17)-a1701 [in quantum dissipative systems];
> s.a. correlations; entanglement;
hadrons [inhibition of proton decay].
Variations
* Anti-Zeno effect: A perpetual
observation leads to an immediate disappearance of an unstable system.
* Spatial Zeno effect: The
repetition of the same experiment over the time axis is replaced by simultaneous
performances of the same experiment in a number of identical independent
non-overlapping regions of space.
@ Anti-Zeno effect: Kaulakys & Gontis PRA(97);
Lewenstein & Rzazewski PRA(00)qp/99;
Balachandran & Roy PRL(00)qp/99,
IJMPA(02)qp/01;
Prezhdo PRL(00) [in chemistry];
Diósi qp/01;
Kofman & Kurizki ZNA(01)qp;
Exner JPA(05)qp [sufficient conditions].
@ Spatial Zeno effect: Bar & Horwitz IJTP(01);
Kouznetsov & Oberst OR(05) [and reflection of waves].
@ Removal of Zeno effect: Kullock & Svaiter PLA(08) [vacuum fluctuations of coupled field];
Cao et al PLA(12)-a1011
[transition from Zeno to anti-Zeno effects for a qubit in a cavity].
@ Other generalizations: Möbus & Wolf JMP(19)-a1901.
main page
– abbreviations
– journals – comments
– other sites – acknowledgements
send feedback and suggestions to bombelli at olemiss.edu – modified 27 mar 2021