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A solenoidal synthetic field and the non-Abelian Aharonov-Bohm effects in neutral atoms.

Huo MX, Nie W, Hutchinson DA, Kwek LC - Sci Rep (2014)

Bottom Line: Correspondingly, interference effects will play a role in transport.As an application, interference patterns of the magnetic type-I Aharonov-Bohm (AB) effect are obtained by evolving atoms along a circle over several tens of lattice cells.The scheme requires only standard optical access, and is robust to weak particle interactions.

View Article: PubMed Central - PubMed

Affiliation: Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543.

ABSTRACT
Cold neutral atoms provide a versatile and controllable platform for emulating various quantum systems. Despite efforts to develop artificial gauge fields in these systems, realizing a unique ideal-solenoid-shaped magnetic field within the quantum domain in any real-world physical system remains elusive. Here we propose a scheme to generate a "hairline" solenoid with an extremely small size around 1 micrometer which is smaller than the typical coherence length in cold atoms. Correspondingly, interference effects will play a role in transport. Despite the small size, the magnetic flux imposed on the atoms is very large thanks to the very strong field generated inside the solenoid. By arranging different sets of Laguerre-Gauss (LG) lasers, the generation of Abelian and non-Abelian SU(2) lattice gauge fields is proposed for neutral atoms in ring- and square-shaped optical lattices. As an application, interference patterns of the magnetic type-I Aharonov-Bohm (AB) effect are obtained by evolving atoms along a circle over several tens of lattice cells. During the evolution, the quantum coherence is maintained and the atoms are exposed to a large magnetic flux. The scheme requires only standard optical access, and is robust to weak particle interactions.

No MeSH data available.


Related in: MedlinePlus

Schematic diagram for generating strongly localized effective Abelian and non-Abelian gauge fields with cold atoms trapped in square (a) and ring (b) lattices. The atoms can hop from one site to a neighbouring site via laser-assisted tunnelling by shinning LG lasers perpendicular to the lattice surface (a). The LG beams drive the spin-conserved transitions between two identical sublevels in neighbouring sites in (d) to generate Abelian fields, and spin-flipping transitions between two different sublevels in neighbouring sites in (e) to generate SU(2) non-Abelian fields. The resulting magnetic flux as shown in (c) is non-zero when going around a loop (e.g., the blue square) including the laser centre which is addressed in the lattice centre and zero when the laser centre is excluded from the loop (e.g., the green square).
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f1: Schematic diagram for generating strongly localized effective Abelian and non-Abelian gauge fields with cold atoms trapped in square (a) and ring (b) lattices. The atoms can hop from one site to a neighbouring site via laser-assisted tunnelling by shinning LG lasers perpendicular to the lattice surface (a). The LG beams drive the spin-conserved transitions between two identical sublevels in neighbouring sites in (d) to generate Abelian fields, and spin-flipping transitions between two different sublevels in neighbouring sites in (e) to generate SU(2) non-Abelian fields. The resulting magnetic flux as shown in (c) is non-zero when going around a loop (e.g., the blue square) including the laser centre which is addressed in the lattice centre and zero when the laser centre is excluded from the loop (e.g., the green square).

Mentions: In this work, we consider a scheme to realize a “hairline” solenoid in both a square lattice [Fig. 1(a)] and in a ring geometry43 [Fig. 1(b)] by employing LG-laser-assisted tunnelling. Our scheme consists of three ingredients. Firstly, atoms in different internal states are trapped in a staggered manner in a ring or a square lattice, e.g., as shown in Fig. 1(c) for a square-lattice case. The open and solid circles represent atoms in different internal states, respectively. Secondly, the depth of lattice potentials is tuned to be very large such that regular tunnelling among lattice sites is prohibited. Finally, the additional lasers with non-zero orbital angular momentum are switched on to induce tunnelling between the adjacent lattice sites.


A solenoidal synthetic field and the non-Abelian Aharonov-Bohm effects in neutral atoms.

Huo MX, Nie W, Hutchinson DA, Kwek LC - Sci Rep (2014)

Schematic diagram for generating strongly localized effective Abelian and non-Abelian gauge fields with cold atoms trapped in square (a) and ring (b) lattices. The atoms can hop from one site to a neighbouring site via laser-assisted tunnelling by shinning LG lasers perpendicular to the lattice surface (a). The LG beams drive the spin-conserved transitions between two identical sublevels in neighbouring sites in (d) to generate Abelian fields, and spin-flipping transitions between two different sublevels in neighbouring sites in (e) to generate SU(2) non-Abelian fields. The resulting magnetic flux as shown in (c) is non-zero when going around a loop (e.g., the blue square) including the laser centre which is addressed in the lattice centre and zero when the laser centre is excluded from the loop (e.g., the green square).
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4126000&req=5

f1: Schematic diagram for generating strongly localized effective Abelian and non-Abelian gauge fields with cold atoms trapped in square (a) and ring (b) lattices. The atoms can hop from one site to a neighbouring site via laser-assisted tunnelling by shinning LG lasers perpendicular to the lattice surface (a). The LG beams drive the spin-conserved transitions between two identical sublevels in neighbouring sites in (d) to generate Abelian fields, and spin-flipping transitions between two different sublevels in neighbouring sites in (e) to generate SU(2) non-Abelian fields. The resulting magnetic flux as shown in (c) is non-zero when going around a loop (e.g., the blue square) including the laser centre which is addressed in the lattice centre and zero when the laser centre is excluded from the loop (e.g., the green square).
Mentions: In this work, we consider a scheme to realize a “hairline” solenoid in both a square lattice [Fig. 1(a)] and in a ring geometry43 [Fig. 1(b)] by employing LG-laser-assisted tunnelling. Our scheme consists of three ingredients. Firstly, atoms in different internal states are trapped in a staggered manner in a ring or a square lattice, e.g., as shown in Fig. 1(c) for a square-lattice case. The open and solid circles represent atoms in different internal states, respectively. Secondly, the depth of lattice potentials is tuned to be very large such that regular tunnelling among lattice sites is prohibited. Finally, the additional lasers with non-zero orbital angular momentum are switched on to induce tunnelling between the adjacent lattice sites.

Bottom Line: Correspondingly, interference effects will play a role in transport.As an application, interference patterns of the magnetic type-I Aharonov-Bohm (AB) effect are obtained by evolving atoms along a circle over several tens of lattice cells.The scheme requires only standard optical access, and is robust to weak particle interactions.

View Article: PubMed Central - PubMed

Affiliation: Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543.

ABSTRACT
Cold neutral atoms provide a versatile and controllable platform for emulating various quantum systems. Despite efforts to develop artificial gauge fields in these systems, realizing a unique ideal-solenoid-shaped magnetic field within the quantum domain in any real-world physical system remains elusive. Here we propose a scheme to generate a "hairline" solenoid with an extremely small size around 1 micrometer which is smaller than the typical coherence length in cold atoms. Correspondingly, interference effects will play a role in transport. Despite the small size, the magnetic flux imposed on the atoms is very large thanks to the very strong field generated inside the solenoid. By arranging different sets of Laguerre-Gauss (LG) lasers, the generation of Abelian and non-Abelian SU(2) lattice gauge fields is proposed for neutral atoms in ring- and square-shaped optical lattices. As an application, interference patterns of the magnetic type-I Aharonov-Bohm (AB) effect are obtained by evolving atoms along a circle over several tens of lattice cells. During the evolution, the quantum coherence is maintained and the atoms are exposed to a large magnetic flux. The scheme requires only standard optical access, and is robust to weak particle interactions.

No MeSH data available.


Related in: MedlinePlus