Nonlinear behavior of geometric phases induced by photon pairs

被引：9

作者：

Kobayashi, H. ^{[1
]}

Ikeda, Y. ^{[1
]}

Tamate, S. ^{[1
]}

Nakanishi, T. ^{[1
]}

Kitano, M. ^{[1
]}

机构：

[1] Kyoto Univ, Dept Elect Sci & Engn, Kyoto 6158510, Japan

来源：

PHYSICAL REVIEW A | 2011年 / 83卷 / 06期

关键词：

PANCHARATNAMS TOPOLOGICAL PHASE; BERRY PHASE; QUANTUM; STATES; SPIN; INTERFEROMETRY; INTERFERENCE; SWITCH; LIGHT; LIMIT;

D O I：

10.1103/PhysRevA.83.063808

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this study, we observe the nonlinear behavior of the two-photon geometric phase for polarization states using time-correlated photon pairs. This phase manifests as a shift of two-photon interference fringes. Under certain arrangements, the geometric phase can vary nonlinearly and become very sensitive to a change in the polarization state. Moreover, it is known that the geometric phase for N identically polarized photons is N times larger than that for one photon. Thus, the geometric phase for two photons can become two times more sensitive to a state change. This high sensitivity to a change in the polarization can be exploited for precision measurement of small polarization variation. We evaluate the signal-to-noise ratio of the measurement scheme using the nonlinear behavior of the geometric phase under technical noise and highlight the practical advantages of this scheme.

引用

页数：9

共 46 条

[1] 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

[2] PHASE-CHANGE DURING A CYCLIC QUANTUM EVOLUTION [J].

AHARONOV, Y ;

ANANDAN, J .

PHYSICAL REVIEW LETTERS, 1987, 58 (16) :1593-1596

[3] THE GEOMETRIC PHASE [J].

ANANDAN, J .

NATURE, 1992, 360 (6402) :307-313

[4] A SIMPLE PROOF OF PANCHARATNAM THEOREM [J].

ARAVIND, PK .

OPTICS COMMUNICATIONS, 1992, 94 (04) :191-196

[5] THE ADIABATIC PHASE AND PANCHARATNAM PHASE FOR POLARIZED-LIGHT [J].

BERRY, MV .

JOURNAL OF MODERN OPTICS, 1987, 34 (11) :1401-1407

[6] QUANTAL PHASE-FACTORS ACCOMPANYING ADIABATIC CHANGES [J].

BERRY, MV .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1984, 392 (1802) :45-57

[7]

Bhandari R., 1997, Physics Reports, V281, P1, DOI 10.1016/S0370-1573(96)00029-4

[8] Optimal frequency measurements with maximally correlated states [J].

Bollinger, JJ ;

Itano, WM ;

Wineland, DJ ;

Heinzen, DJ .

PHYSICAL REVIEW A, 1996, 54 (06) :R4649-R4652

[9] Quantum interferometric optical lithography: Exploiting entanglement to beat the diffraction limit [J].

Boto, AN ;

Kok, P ;

Abrams, DS ;

Braunstein, SL ;

Williams, CP ;

Dowling, JP .

PHYSICAL REVIEW LETTERS, 2000, 85 (13) :2733-2736

[10] Low-cost coincidence-counting electronics for undergraduate quantum optics [J].

Branning, D. ;

Bhandari, S. ;

Beck, M. .

AMERICAN JOURNAL OF PHYSICS, 2009, 77 (07) :667-670

← 1 2 3 4 5 →