Quantum oblivion: A master key for many quantum riddles

被引:22
作者
Elitzur, Avshalom C. [1 ]
Cohen, Eliahu [2 ]
机构
[1] Israeli Inst Adv Res, Iyar, Rehovot, Israel
[2] Tel Aviv Univ, Sch Phys & Astron, IL-6997801 Tel Aviv, Israel
基金
以色列科学基金会;
关键词
Quantum oblivion; quantum measurement; IFM; AB effect; quantum Zeno effect; non-locality; DELAYED CHOICE; MECHANICS; PARADOX; ERASER;
D O I
10.1142/S0219749915600242
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
A simple quantum interaction is analyzed, where the paths of two superposed particles asymmetrically cross, while a detector set to detect an interaction between them remains silent. Despite this negative result, the particles' states leave no doubt that a peculiar interaction has occurred: One particle's momentum is changed while the other's remains unaffected, in apparent violation of momentum conservation. Revisiting the foundations of the standard quantum measurement process offers the resolution. Prior to the macroscopic recording of no interaction, a brief critical interval (CI) prevails, during which the particles and the detector's pointer form a subtle entanglement which immediately dissolves. It is this self-cancellation, henceforth "quantum oblivion (QO)," that lies at the basis of some well-known intriguing quantum effects. Such is interaction-free measurement (IFM) 1 and its more paradoxical variants like Hardy's Paradox 2 and the quantum liar paradox. 3 Even the Aharonov-Bohm (AB) effect 4 and weak measurement (WM) 5 turn out to belong to this group. We next study interventions within the CI that produce some other peculiar effects. Finally, we discuss some of the conceptual issues involved. Under a greater time-resolution of the CI, some non-local phenomena turn out to be local. Momentum is conserved due to the quantum uncertainties inflicted by the particle-pointer interaction, which sets the experiment's final boundary condition.
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页数:16
相关论文
共 25 条
[1]   TIME SYMMETRY IN QUANTUM PROCESS OF MEASUREMENT [J].
AHARONOV, Y ;
BERGMANN, PG ;
LEBOWITZ, JL .
PHYSICAL REVIEW B, 1964, 134 (6B) :1410-&
[2]   Revisiting Hardy's paradox: counterfactual statements, real measurements, entanglement and weak values [J].
Aharonov, Y ;
Botero, A ;
Popescu, S ;
Reznik, B ;
Tollaksen, J .
PHYSICS LETTERS A, 2002, 301 (3-4) :130-138
[3]   HOW THE RESULT OF A MEASUREMENT OF A COMPONENT OF THE SPIN OF A SPIN-1/2 PARTICLE CAN TURN OUT TO BE 100 [J].
AHARONOV, Y ;
ALBERT, DZ ;
VAIDMAN, L .
PHYSICAL REVIEW LETTERS, 1988, 60 (14) :1351-1354
[4]   SIGNIFICANCE OF ELECTROMAGNETIC POTENTIALS IN THE QUANTUM THEORY [J].
AHARONOV, Y ;
BOHM, D .
PHYSICAL REVIEW, 1959, 115 (03) :485-491
[5]  
Aharonov Y., 2014, QUANTUM STUD MATH FD, V1
[6]   Foundations and applications of weak quantum measurements [J].
Aharonov, Yakir ;
Cohen, Eliahu ;
Elitzur, Avshalom C. .
PHYSICAL REVIEW A, 2014, 89 (05)
[7]  
Aharonov Y, 2008, LECT NOTES PHYS, V734, P399, DOI 10.1007/978-3-540-73473-4_13
[8]   Quantum physics as a science of information [J].
Brukner, C ;
Zeilinger, A .
QUO VADIS QUANTUM MECHANICS?, 2005, :47-61
[9]   INTERACTION-FREE QUANTUM MEASUREMENTS - A PARADOX [J].
DICKE, RH .
AMERICAN JOURNAL OF PHYSICS, 1981, 49 (10) :925-930
[10]  
Elitzur A. C., QUANTUM UND IN PRESS