# Coherent transfer by adiabatic passage in two-dimensional lattices

## Abstract

Coherent tunneling by adiabatic passage (CTAP) is a well-established technique for robust spatial transport of quantum particles in linear chains. Here we introduce two exactly-solvable models where the CTAP protocol can be extended to two-dimensional lattice geometries. Such bi-dimensional lattice models are synthesized from time-dependent second-quantization Hamiltonians, in which the bosonic field operators evolve adiabatically like in an ordinary three-level CTAP scheme thus ensuring adiabatic passage in Fock space. - Highlights: • New ways of coherent transport by adiabatic passage (CTAP) in 2D lattices. • Synthesis of exactly-solvable 2D lattices from a simple three-well model. • CTAP in 2D lattices can be exploited for quantum state transfer.

- Authors:

- Publication Date:

- OSTI Identifier:
- 22403385

- Resource Type:
- Journal Article

- Journal Name:
- Annals of Physics (New York)

- Additional Journal Information:
- Journal Volume: 348; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EXACT SOLUTIONS; FIELD OPERATORS; FOCK REPRESENTATION; HAMILTONIANS; MATHEMATICAL SPACE; QUANTUM STATES; SECOND QUANTIZATION; TIME DEPENDENCE; TUNNEL EFFECT; TWO-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL SYSTEMS

### Citation Formats

```
Longhi, Stefano, E-mail: stefano.longhi@fisi.polimi.it.
```*Coherent transfer by adiabatic passage in two-dimensional lattices*. United States: N. p., 2014.
Web. doi:10.1016/J.AOP.2014.05.020.

```
Longhi, Stefano, E-mail: stefano.longhi@fisi.polimi.it.
```*Coherent transfer by adiabatic passage in two-dimensional lattices*. United States. doi:10.1016/J.AOP.2014.05.020.

```
Longhi, Stefano, E-mail: stefano.longhi@fisi.polimi.it. Mon .
"Coherent transfer by adiabatic passage in two-dimensional lattices". United States. doi:10.1016/J.AOP.2014.05.020.
```

```
@article{osti_22403385,
```

title = {Coherent transfer by adiabatic passage in two-dimensional lattices},

author = {Longhi, Stefano, E-mail: stefano.longhi@fisi.polimi.it},

abstractNote = {Coherent tunneling by adiabatic passage (CTAP) is a well-established technique for robust spatial transport of quantum particles in linear chains. Here we introduce two exactly-solvable models where the CTAP protocol can be extended to two-dimensional lattice geometries. Such bi-dimensional lattice models are synthesized from time-dependent second-quantization Hamiltonians, in which the bosonic field operators evolve adiabatically like in an ordinary three-level CTAP scheme thus ensuring adiabatic passage in Fock space. - Highlights: • New ways of coherent transport by adiabatic passage (CTAP) in 2D lattices. • Synthesis of exactly-solvable 2D lattices from a simple three-well model. • CTAP in 2D lattices can be exploited for quantum state transfer.},

doi = {10.1016/J.AOP.2014.05.020},

journal = {Annals of Physics (New York)},

issn = {0003-4916},

number = ,

volume = 348,

place = {United States},

year = {2014},

month = {9}

}