A system of particles in a double well potential is a widely studied and useful example for understanding quantum mechanics. This simple system has recently been used in theoretical proposals and related experiments as a way to make quantum logic gates for ultracold atoms confined in optical lattices. Such quantum gates are the fundamental building blocks for quantum information processing; in these proposals, a regular array of cold atoms in an optical lattice serves as the quantum register. We explain how this research can be understood in terms of well-known principles for systems of identical particles.

1.
M.
Anderlini
,
P.
Lee
,
B.
Brown
,
J.
Sebby-Strabley
,
W.
Phillips
, and
J.
Porto
, “
Controlled exchange interaction between pairs of neutral atoms in an optical lattice
,”
Nature (London)
448
,
452
456
(
2007
).
2.
S.
Trotzky
,
P.
Cheinet
,
S.
Fölling
,
M.
Feld
,
U.
Schnorrberger
,
A.
Rey
,
A.
Polkovnikov
,
E.
Demler
,
M.
Lukin
, and
I.
Bloch
, “
Time-resolved observation and control of superexchange interactions with ultracold atoms in optical lattices
,”
Science
319
,
295
299
(
2008
).
3.
D.
Hayes
,
P.
Julienne
, and
I.
Deutsch
, “
Quantum logic via the exchange blockade in ultracold collisions
,”
Phys. Rev. Lett.
98
,
070501
(
2007
).
4.
C. J.
Foot
,
Atomic Physics
(
Oxford University Press
,
Oxford
,
2005
).
5.
M.
Nielsen
and
I.
Chuang
,
Quantum Computation and Quantum Information
(
Cambridge University Press
,
Cambridge
,
2000
).
6.
B.
Vaucher
,
A.
Nunnenkamp
, and
D.
Jaksch
, “
Creation of resilient entangled states and a resource for measurement-based quantum computation with optical superlattices
,”
New J. Phys.
10
,
023005
(
2008
).
AAPT members receive access to the American Journal of Physics and The Physics Teacher as a member benefit. To learn more about this member benefit and becoming an AAPT member, visit the Joining AAPT page.