Zephyrnet-logo

Momentum sparker i ufullkommen måling av hvilken vei

Dato:


Neha Pathania og Tabish Qureshi

Centre for Theoretical Physics, Jamia Millia Islamia, New Delhi, India.

Finn dette papiret interessant eller vil diskutere? Scite eller legg igjen en kommentar på SciRate.

Abstrakt

There has been an intense debate on the question as to whether a quanton, passing through a double-slit, experiences a ‘momentum kick’ due to the act of which-way detection. There have been conflicting points of view on this issue over many decades. This issue is addressed here in the general setting where the which-way detection may be imperfect. It is shown here that the loss of interference may still be interpreted as arising out of tiny momentum kicks which the quanton appears to receive, irrespective of the nature of the which-way detector. Interestingly, the magnitude of the random momentum kicks is always $textit{h/2d, d}$ being the slit separation, irrespective of how perfect or imperfect the which-way detection is. This is contrary to what has been suggested in the earlier literature. The imperfection of which-way detection decides how frequent are the momentum kicks. It has been shown earlier that for perfect which-way detection, the quanton receives a momentum kick fifty percent of the time. Here it is shown that for imperfect which-way detection, the quanton receives momentum kicks of the same magnitude, but less often. A precise relation between the frequency of kicks and the visibility of interference is found here.

► BibTeX-data

► Referanser

[1] N. Bohr, “The quantum postulate and the recent development of atomic theory,” Nature (London) 121, 580-591 (1928).
https: / / doi.org/ 10.1038 / 121580a0

[2] N. Bohr, in Albert Einstein: Philosopher-Scientist (ed. Schilpp, P. A.) 200-241 (Library of Living Philosophers, Evanston, 1949); reprinted in Quantum Theory and Measurement (eds J.A. Wheeler, W.H. Zurek,) 9-49 (Princeton Univ. Press, 1983).

[3] X-J Liu, Q. Miao, F. Gel’mukhanov, M. Patanen, O. Travnikova, C. Nicolas, H. Agren, K. Ueda, C. Miron “Einstein–Bohr recoiling double-slit gedanken experiment performed at the molecular level,” Nature Photonics 9, 120-125 (2015).
https: / / doi.org/ 10.1038 / nphoton.2014.289

[4] L.Ph.H. Schmidt, J. Lower, T. Jahnke, S. Schößler, M.S. Schöffler, A. Menssen, C. Lévêque, N. Sisourat, R. Taïeb, H. Schmidt-Böcking, and R. Dörner, “Momentum Transfer to a Free Floating Double Slit: Realization of a Thought Experiment from the Einstein-Bohr Debates,” Phys. Rev. Lett. 111, 103201 (2013).
https: / / doi.org/ 10.1103 / PhysRevLett.111.103201

[5] R.S. Utter, J.M. Feagin, “Trapped-ion realization of Einstein’s recoiling-slit experiment”, Phys. Rev. A 75, 062105 (2007).
https: / / doi.org/ 10.1103 / PhysRevA.75.062105

[6] M.O. Scully, B.G. Englert, H. Walther, “Quantum optical tests of complementarity,” Nature 351, 111-116 (1991).
https: / / doi.org/ 10.1038 / 351111a0

[7] E.P. Storey, S.M. Tan, M.J. Collett, D.F. Walls, “Path detection and the uncertainty principle,” Nature 367, 626-628, (1994).
https: / / doi.org/ 10.1038 / 367626a0

[8] B.-G. Englert, M.O. Scully, H. Walther, “Complementarity and uncertainty,” Nature 375, 367 (1995).
https:/​/​doi.org/​10.1038/​375367b0

[9] E.P. Storey, S.M. Tan, M.J. Collett, D.F. Walls, “Complementarity and uncertainty,” Nature 375, 368 (1995).
https: / / doi.org/ 10.1038 / 375368a0

[10] H. Wiseman, F. Harrison, “Uncertainty over complementarity?” Nature 377, 584 (1995).
https: / / doi.org/ 10.1038 / 377584a0

[11] H.M. Wiseman, F.E. Harrison, M.J. Collett, S.M. Tan, D.F. Walls, R.B. Killip, “Nonlocal momentum transfer in welcher Weg measurements,” Phys. Rev. A 56, 55 (1997).
https: / / doi.org/ 10.1103 / PhysRevA.56.55

[12] H.M. Wiseman, “Bohmian analysis of momentum transfer in welcher Weg measurements,” Phys. Rev. A 58 1740 (1998).
https: / / doi.org/ 10.1103 / PhysRevA.58.1740

[13] H. Wiseman, “Directly observing momentum transfer in twin-slit which-way experiments” Phys. Lett. A 311, 285 (2003).
https:/​/​doi.org/​10.1016/​S0375-9601(03)00504-8

[14] B-G. Englert, “Fringe visibility and which-way information: an inequality”, Phys. Rev. Lett. 77, 2154 (1996).
https: / / doi.org/ 10.1103 / PhysRevLett.77.2154

[15] T. Qureshi, R. Vathsan, “Einstein’s recoiling slit experiment, complementarity and uncertainty,” Quanta 2, 58-65 (2013).
https: / / doi.org/ 10.12743 / quanta.v2i1.11

[16] S. Dürr, G. Rempe, “Can wave–particle duality be based on the uncertainty relation?” Am. J. Phys. 58, 1021-1024 (2000).
https: / / doi.org/ 10.1119 / 1.1285869

[17] R. Mir, J.S. Lundeen, M.W. Mitchell, A.M. Steinberg, J.L. Garretson, H.M. Wiseman, “A double-slit ‘which-way’ experiment on the complementarity–uncertainty debate,” New J. Phys. 9, 287 (2007).
https:/​/​doi.org/​10.1088/​1367-2630/​9/​8/​287

[18] Y. Xiao, H.M. Wiseman, J-S. Xu, Y. Kedem, C-F. Li, G-C. Guo, “Observing momentum disturbance in double-slit ‘which-way’ measurements” Sci. Adv. 5, eaav9547 (2019).
https: / / doi.org/ 10.1126 / sciadv.aav9547

[19] T. Qureshi, “Which-way measurement and momentum kicks,” EPL 123, 30007 (2018).
https:/​/​doi.org/​10.1209/​0295-5075/​123/​30007

[20] K. Menon, T. Qureshi, “Wave-particle duality in asymmetric beam interference,” Phys. Rev. A 82, 022130 (2018).
https: / / doi.org/ 10.1103 / PhysRevA.98.022130

[21] I.D. Ivanovic, “How to differentiate between non-orthogonal states”, Phys. Lett. A 123, 257 (1987).
https:/​/​doi.org/​10.1016/​0375-9601(87)90222-2

[22] D. Dieks, “Overlap and distinguishability of quantum states,” Phys. Lett. A 126, 303 (1988).
https:/​/​doi.org/​10.1016/​0375-9601(88)90840-7

[23] A. Peres, “How to differentiate between non-orthogonal states ,” Phys. Lett. A 128, 19 (1988).
https:/​/​doi.org/​10.1016/​0375-9601(88)91034-1

[24] G. Jaeger, A. Shimony, “Optimal distinction between two non-orthogonal quantum states,” Phys. Lett. A 197, 83 (1995).
https:/​/​doi.org/​10.1016/​0375-9601(94)00919-G

[25] A. Luis, L.L. Sánchez-Soto, “Complementarity enforced by random classical phase kicks,” Phys. Rev. Lett. 81, 4031 (1998).
https: / / doi.org/ 10.1103 / PhysRevLett.81.4031

[26] C.S. Unnikrishnan, “Origin of quantum-mechanical complementarity without momentum back action in atom-interferometry experiments,” Phys. Rev. A 62, 015601 (2000).
https: / / doi.org/ 10.1103 / PhysRevA.62.015601

[27] T. Qureshi, “The delayed-choice quantum eraser leaves no choice,” Int. J. Theor. Phys. (2021).
https: / / doi.org/ 10.1007 / s10773-021-04906-w

[28] L. Neves, G. Lima, J. Aguirre, F. A. Torres-Ruiz, C. Saavedra, A. Delgado, “Control of quantum interference in the quantum eraser,” New J. Phys. 11, 073035 (2009).
https:/​/​doi.org/​10.1088/​1367-2630/​11/​7/​073035

[29] Y. L. Len, J. Dai, B-G Englert, L.A. Krivitsky, “Unambiguous path discrimination in a two-path interferometer,” Phys. Rev. A 98, 022110 (2018).
https: / / doi.org/ 10.1103 / PhysRevA.98.022110

Sitert av

[1] Mohd Asad Siddiqui and Tabish Qureshi, “Multipath wave-particle duality with a path detector in a quantum superposition”, Fysisk gjennomgang A 103 2, 022219 (2021).

[2] Mohd Asad Siddiqui and Tabish Qureshi, “Multipath wave-particle duality with a path detector in a quantum superposition”, arxiv: 2010.15719.

Sitatene ovenfor er fra SAO / NASA ADS (sist oppdatert vellykket 2021-07-20 13:33:41). Listen kan være ufullstendig fordi ikke alle utgivere gir passende og fullstendige sitasjonsdata.

Kunne ikke hente Crossref sitert av data under siste forsøk 2021-07-20 13:33:39: Kunne ikke hente siterte data for 10.22331 / q-2021-07-20-507 fra Crossref. Dette er normalt hvis DOI nylig ble registrert.

PlatonAi. Web3 Reimagined. Data Intelligence Amplified.
Klikk her for å få tilgang.

Kilde: https://quantum-journal.org/papers/q-2021-07-20-507/

spot_img

Siste etterretning

spot_img

Chat med oss

Hei der! Hvordan kan jeg hjelpe deg?