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 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-in
[rev, and experiment].
@ General references: Misra & Sudarshan JMP(77),
Peres AJP(80)nov
[proposal]; Kraus FP(81)
[continuous observation]; Bunge & Kálnay NCB(83);
Joos PRD(84);
Damnjanovic
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 qp/04 [external
observers]; Ruseckas & Kaulakys PRA(04)
[Zeno + anti-Zeno, general expression]; Koshino & Shimizu PRP(05)
[general measurements]; Wallden JPA(07)-a0704 [decoherent
histories approach]; Zheng et al PRL(08)
[without rotating-wave approximation]; Bagis a0906.
@ Real / finite-time measurements: Ruseckas PLA(01)qp/02;
Ruseckas & Kaulakys
PRA(01);
Egusquiza & Garay PRA(03)
[real clocks].
@ 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 qp/06.
@ 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].
@
Quantum Zeno dynamics: Facchi et al a0710;
Facchi & Pascazio JPA(08)-a0903 [rev];
Facchi & Ligabò a0911.
@ 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; > s.a. decoherence; experiments; phase.
Examples and Applications > s.a. constrained
systems; entanglement; Friedrichs
Model.
@ Examples: Mihokova et al PRA(97)
[atoms]; Elattari & Gurvitz PRL(00)qp/99 [e 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].
@ 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].
@ 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 a0801 [and
information control in spin chains]; Rossi et al PLA(09)-a0907 [and
semiclassical evolution]; > s.a. 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 nonoverlapping
regions of space.
@ Anti-Zeno effect: Kaulakys & Gontis PRA(97);
Lewenstein & Rzazewski qp/99;
Balachandran & Roy PRL(00)qp/99,
IJMPA(02)qp/01;
Prezhdo PRL(00)
[in chemistry]; Diósi qp/01;
Kofman & Kurizki qp/01/ZNA;
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].
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send feedback and suggestions to bombelli at olemiss.edu – modified 14
nov 2009