Geometric Phases for Mixed States in Interferometry - INSPIRE

DataBETA

Geometric Phases for Mixed States in Interferometry

Oct 2, 2000

Published in:

Phys.Rev.Lett. 85 (2000) 14, 2845

Published: Oct 2, 2000

DOI:

10.1103/PhysRevLett.85.2845

reference search149 citations

Citations per year

Abstract: (APS)

We provide a physical prescription based on interferometry for introducing the total phase of a mixed state undergoing unitary evolution, which has been an elusive concept in the past. We define the parallel transport condition that provides a connection form for obtaining the geometric phase for mixed states. The expression for the geometric phase for mixed state reduces to well known formulas in the pure state case when a system undergoes noncyclic and unitary quantum evolution.

References(25)

Figures(0)

M.V. Berry

- Proc.Roy.Soc.Lond.A A 392 (1984) 45

Phase Change During a Cyclic Quantum Evolution

Y. Aharonov
(
- South Carolina U.
)
,
J. Anandan
(
- South Carolina U.
)

- Phys.Rev.Lett. 58 (1987) 1593
•
DOI:
- 10.1103/PhysRevLett.58.1593

Generalized theory of interference, and its applications

S. Pancharatnam

- Proc.Indian Acad.Sci.A 44 (1956) 5, 247-262
•
DOI:
- 10.1007/BF03046050

General Setting for Berry's Phase

- Phys.Rev.Lett. 60 (1988) 2339-2342
•
DOI:
- 10.1103/PhysRevLett.60.2339

Quantum kinematic approach to the geometric phase. 1. General formalism

N. Mukunda
(
- Bangalore, Indian Inst. Sci.
)
,
R. Simon
(
- IMSc, Chennai
)

- Annals Phys. 228 (1993) 205-268
•
DOI:
- 10.1006/aphy.1993.1093

A.K. Pati

- Phys.Rev.A 52 (1995) 2576

A.K. Pati

- J.Phys.A 28 (1995) 2087

Adiabatic Berry phase and Hannay angle for open paths

Arun Kumar Pati
(
- Bhabha Atomic Res. Ctr.
)

- Annals Phys. 270 (1998) 178-197
•
e-Print:
- quant-ph/9804057
•
DOI:
- 10.1006/aphy.1998.5850

Extending the quantal adiabatic theorem: Geometry of noncyclic motion

Gonzalo Garcia de Polavieja
(
- Oxford U.
)
,
Erik Sjoeqvist
(
- Oxford U.
)

- Am.J.Phys. 66 (1998) 431
•
e-Print:
- quant-ph/9801013
•
DOI:
- 10.1119/1.18799

Noncyclic geometric phase and its nonAbelian generalization

Ali Mostafazadeh
(
- Koc U.
)

- J.Phys.A 32 (1999) 8157-8171
•
e-Print:
- quant-ph/9909093
•
DOI:
- 10.1088/0305-4470/32/46/312

E. Sjöqvist
,
M. Hedström

- Phys.Rev.A 56 (1997) 3417

Adiabatic Geometric Phases and Response Functions

Sudhir R. Jain
(
- Unlisted
)
,
Arun K. Pati
(
- Unlisted
)

- Phys.Rev.Lett. 80 (1998) 650-653
•
e-Print:
- chao-dyn/9804037
•
DOI:
- 10.1103/PhysRevLett.80.650

Fluctuation, time correlation function and geometric phase

Arun K. Pati
(
- Bhabha Atomic Res. Ctr.
)

- Phys.Rev.A 60 (1999) 121
•
e-Print:
- quant-ph/9804003
•
DOI:
- 10.1103/PhysRevA.60.121

Geometric quantum computation using nuclear magnetic resonance

Jonathan A. Jones
(
- Oxford U., Ctr. Quantum Comp. and
- Oxford U.
)
,
Vlatko Vedral
(
- Oxford U., Ctr. Quantum Comp.
)
,
Artur Ekert
(
- Oxford U., Ctr. Quantum Comp.
)
,
Giuseppe Castagnoli
(
- Genoa U. and
- Elsag Bailey, Genoa
)

- Nature 403 (2000) 6772, 869-871
•
DOI:
- 10.1038/35002528

J. Mod

A. Ekert
,
M. Ericsson
,
P. Hayden
,
H. Inamori
,
J.A. Jones

et al.

E. Sjöqvist

- Phys.Rev.A 62 (2000) 022109

A. Uhlmann

- Rept.Math.Phys. 24 (1986) 229

Gauge field governing parallel transport along mixed states

Armin Uhlmann
(
- Vienna U.
)

- Lett.Math.Phys. 21 (1991) 229-236
•
DOI:
- 10.1007/BF00420373

A.G. Wagh
,
V.C. Rakhecha

- Phys.Lett.A 197 (1995) 107

Neutron Interferometric Observation of Noncyclic Phase

- Phys.Rev.Lett. 81 (1998) 1992-1995
•
DOI:
- 10.1103/PhysRevLett.81.1992

J.S. Anandan

- Phys.Lett.A 129 (1988) 201

J.S. Anandan

- Nature 360 (1992) 307

H. Rauch
,
A. Zeilinger
,
G. Badurek
,
A. Wilfing
,
W. Bauspiess

et al.

- Phys.Lett.A 54 (1975) 425

Observation of the Phase Shift of a Neutron Due to Precession in a Magnetic Field

S.A. Werner
(
- Missouri U.
)
,
R. Colella
(
- Purdue U.
)
,
A.W. Overhauser
(
- Purdue U.
)
,
C.F. Eagen
(
- Ford Motor Co., Dearborn
)

- Phys.Rev.Lett. 35 (1975) 1053-1055
•
DOI:
- 10.1103/PhysRevLett.35.1053

Observation of 2 pi Rotations by Fresnel Diffraction of Neutrons

A.G. Klein
(
- Melbourne U.
)
,
G.I. Opat
(
- Melbourne U.
)

- Phys.Rev.Lett. 37 (1976) 238
•
DOI:
- 10.1103/PhysRevLett.37.238