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Quantum nondemolition measuremen generated spin-squeezed Bose-Einstein condensate confined in a double-well trap
Received date: 2021-08-23
Online published: 2022-07-19
This paper studies the use of quantum nondemolition (QND) measurement to produce a spin squeezed atomic Bose-Einstein condensate (BEC) in a double-well trap. The spin squeezed atomic Bose-Einstein condensate is performed by putting the BECs of a double well in the two arms of a Mach Zehnder interferometer and performing a QND measurement. The dynamics of the light-atom system are solved using an exact wave-function approach, in contrast to previous approaches where approximations were made using techniques like the Holstein-Primakoff approximation. The backaction of the measurement on atoms is minimized by monitoring the condensate at zero detection current and the identical coherent beams. At the weak atom-light interaction limit, we find that the average spin direction is relatively unaffected by observing the conditional probability distribution and the Q function distribution. The spin variance is squeezed along the axis of optical coupling.
Yangxu JI , Ebubechukwu O. ILO-OKEKE , Tim BYRNES . Quantum nondemolition measuremen generated spin-squeezed Bose-Einstein condensate confined in a double-well trap[J]. Journal of East China Normal University(Natural Science), 2022 , 2022(4) : 154 -162 . DOI: 10.3969/j.issn.1000-5641.2022.04.016
1 | NIELSEN M A, CHUANG I L . Quantum Computation and Quantum Information [M]. 10th Anniversary ed. Cambridge: Cambridge University Press, 2011. |
2 | HORODECKI R, HORODECKI P, HORODECKI M, et al. Quantum entanglement. Reviews of Modern Physics, 2009, 81 (2): 865- 942. |
3 | GIOVANNETTI V, LLOYD S, MACCONE L. Advances in quantum metrology. Nature Photonics, 2011, 5 (4): 222- 229. |
4 | DEGEN C L, REINHARD F, CAPPELLARO P. Quantum sensing. Reviews of Modern Physics, 2017, 89 (3): 035002. |
5 | JOZSA R, ABRAMS D S, DOWLING J P, et al. Quantum clock synchronization based on shared prior entanglement. Physical Review Letters, 2000, 85 (9): 2010-2013. |
6 | ILO-OKEKE E O, ILYAS B, TESSLER L, et al. Relativistic corrections to photonic entangled states for the space-based quantum network. Physical Review A, 2020, 101 (1): 012322. |
7 | NAGELE C, ILO-OKEKE E O, ROHDE P P, et al. Relativity of quantum states in entanglement swapping. Physics Letters A, 2020, 384 (15): 126301. |
8 | KITAGAWA M, UEDA M. Squeezed spin states. Physical Review A, 1993, 47 (6): 5138-5143. |
9 | MA J, WANG X G, SUN C P, et al. Quantum spin squeezing. Physics Reports, 2011, 509 (2/3): 89- 165. |
10 | WINELAND D J, BOLLINGER J J, ITANO W M, et al. Squeezed atomic states and projection noise in spectroscopy. Physical Review A, 1994, 50 (1): 67-88. |
11 | BOYD R W. Nonlinear Optics [M]. San Diego: Academic Press, 1992: 155. |
12 | NEW G. Introduction to Nonlinear Optics [M]. Cambridge: Cambridge University Press, 2011. |
13 | WALLS D F. Squeezed states of light. Nature, 1983, 306 (5939): 141- 146. |
14 | SLUSHER R E, HOLLBERG L W, YURKE B, et al. Observation of squeezed states generated by four-wave mixing in an optical cavity. Physical Review Letters, 1985, 55 (22): 2409-2412. |
15 | WU L A, KIMBLE H J, HALL J L, et al. Generation of squeezed states by parametric down conversion. Physical Review Letters, 1986, 57 (20): 2520-2523. |
16 | JING Y M, FADEL M, IVANNIKOV V, et al. Split spin-squeezed Bose-Einstein condensates. New Journal of Physics, 2019, 21 (9): 093038. |
17 | TAKAHASHI Y, HONDA K, TANAKA N, et al. Quantum nondemolition measurement of spin via the paramagnetic Faraday rotation. Physical Review A, 1999, 60 (6): 4974-4979. |
18 | S?RENSEN A, DUAN L M, CIRAC J I, et al. Many-particle entanglement with Bose-Einstein condensates. Nature, 2001, 409 (6816): 63- 66. |
19 | HALD J, S?RENSEN J L, SCHORI C, et al. Spin squeezed atoms: A macroscopic entangled ensemble created by light. Physical Review Letters, 1999, 83 (7): 1319-1322. |
20 | KUZMICH A, MANDEL L, BIGELOW N P. Generation of spin squeezing via continuous quantum nondemolition measurement. Physical Review Letters, 2000, 85 (8): 1594-1597. |
21 | ORZEL C, TUCHMAN A K, FENSELAU M L, et al. Squeezed states in a Bose-Einstein condensate. Science, 2001, 291 (5512): 2386- 2389. |
22 | IMOTO N, HAUS H A, YAMAMOTO Y. Quantum nondemolition measurement of the photon number via the optical Kerr effect. Physical Review A, 1985, 32 (4): 2287-2292. |
23 | APPEL J, WINDPASSINGER P J, OBLAK D, et al. Mesoscopic atomic entanglement for precision measurements beyond the standard quantum limit. Proceedings of the National Academy of Sciences, 2009, 106 (27): 10960- 10965. |
24 | VASILAKIS G, SHEN H, JENSEN K, et al. Generation of a squeezed state of an oscillator by stroboscopic back-action-evading measurement. Nature Physics, 2015, 11 (5): 389- 392. |
25 | M?LLER C B, THOMAS R A, VASILAKIS G, et al. Quantum back-action-evading measurement of motion in a negative mass reference frame. Nature, 2017, 547 (7662): 191- 195. |
26 | KITZINGER J, CHAUDHARY M, KONDAPPAN M, et al. Two-axis two-spin squeezed states. Physical Review Research, 2020, 2 (3): 033504. |
27 | ABDELRAHMAN A, MUKAI T, H?FFNER H, et al. Coherent all-optical control of ultracold atoms arrays in permanent magnetic traps. Optics Express, 2014, 22 (3): 3501- 3513. |
28 | HANDSCHY M A. Re-examination of the 1887 Michelson-Morley experiment. American Journal of Physics, 1982, 50 (11): 987- 990. |
29 | BYRNES T, ILO-OKEKE E O. Quantum Atom Optics: Theory and Applications to Quantum Technology [M]. Cambridge: Cambridge University Press, 2021. |
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