Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases

A. G. Volosniev; D. Petrosyan; M. Valiente; D. V. Fedorov; A. S. Jensen; Nikolaj Thomas Zinner

doi:10.1103/PhysRevA.91.023620

Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases

A. G. Volosniev, D. Petrosyan, M. Valiente, D. V. Fedorov, A. S. Jensen, Nikolaj Thomas Zinner

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

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Abstract

We consider a one-dimensional gas of cold atoms with strong contact interactions and construct an effective spin-chain Hamiltonian for a two-component system. The resulting Heisenberg spin model can be engineered by manipulating the shape of the external confining potential of the atomic gas. We find that bosonic atoms offer more flexibility for tuning independently the parameters of the spin Hamiltonian through interatomic (intra-species) interaction which is absent for fermions due to the Pauli exclusion principle. Our formalism can have important implications for control and manipulation of the dynamics of few- and many-body quantum systems; as an illustrative example relevant to quantum computation and communication, we consider state transfer in the simplest non-trivial system of four particles representing exchange-coupled qubits.

Original language	English
Article number	023620
Journal	Physical Review A
Volume	91
Issue	2
Number of pages	9
ISSN	2469-9926
DOIs	https://doi.org/10.1103/PhysRevA.91.023620
Publication status	Published - 2015

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10.1103/PhysRevA.91.023620

http://link.aps.org/doi/10.1103/PhysRevA.91.023620

Cite this

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title = "Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases",

abstract = "We consider a one-dimensional gas of cold atoms with strong contact interactions and construct an effective spin-chain Hamiltonian for a two-component system. The resulting Heisenberg spin model can be engineered by manipulating the shape of the external confining potential of the atomic gas. We find that bosonic atoms offer more flexibility for tuning independently the parameters of the spin Hamiltonian through interatomic (intra-species) interaction which is absent for fermions due to the Pauli exclusion principle. Our formalism can have important implications for control and manipulation of the dynamics of few- and many-body quantum systems; as an illustrative example relevant to quantum computation and communication, we consider state transfer in the simplest non-trivial system of four particles representing exchange-coupled qubits.",

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T1 - Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases

AU - Volosniev, A. G.

AU - Petrosyan, D.

AU - Valiente, M.

AU - Fedorov, D. V.

AU - Jensen, A. S.

AU - Zinner, Nikolaj Thomas

PY - 2015

Y1 - 2015

N2 - We consider a one-dimensional gas of cold atoms with strong contact interactions and construct an effective spin-chain Hamiltonian for a two-component system. The resulting Heisenberg spin model can be engineered by manipulating the shape of the external confining potential of the atomic gas. We find that bosonic atoms offer more flexibility for tuning independently the parameters of the spin Hamiltonian through interatomic (intra-species) interaction which is absent for fermions due to the Pauli exclusion principle. Our formalism can have important implications for control and manipulation of the dynamics of few- and many-body quantum systems; as an illustrative example relevant to quantum computation and communication, we consider state transfer in the simplest non-trivial system of four particles representing exchange-coupled qubits.

AB - We consider a one-dimensional gas of cold atoms with strong contact interactions and construct an effective spin-chain Hamiltonian for a two-component system. The resulting Heisenberg spin model can be engineered by manipulating the shape of the external confining potential of the atomic gas. We find that bosonic atoms offer more flexibility for tuning independently the parameters of the spin Hamiltonian through interatomic (intra-species) interaction which is absent for fermions due to the Pauli exclusion principle. Our formalism can have important implications for control and manipulation of the dynamics of few- and many-body quantum systems; as an illustrative example relevant to quantum computation and communication, we consider state transfer in the simplest non-trivial system of four particles representing exchange-coupled qubits.

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KW - quant-ph

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VL - 91

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JF - Physical Review A

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