CP(N-1) Quantum Field Theories with Alkaline-Earth Atoms in Optical Lattices

Laflamme, C.; Evans, Wynne; Dalmonte, M.; Gerber, Urs; Mejía-Díaz, H.; Bietenholz, W.; Wiese, Uwe-Jens; Zoller, P. (2016). CP(N-1) Quantum Field Theories with Alkaline-Earth Atoms in Optical Lattices. Annals of physics, 370, pp. 117-127. Elsevier 10.1016/j.aop.2016.03.012

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We propose a cold atom implementation to attain the continuum limit of (1+1)-d CP(N −1) quantum field theories. These theories share important features with (3+1)-d QCD, such as asymptotic freedom and θ-vacua. Moreover, their continuum limit can be accessed via the mechanism of dimensional reduction. In our scheme, the CP(N−1) degrees of freedom emerge at low energies from a ladder system of SU(N) quantum spins, where the N spin states are embodied by the nuclear Zeeman states of alkaline-earth atoms, trapped in an optical lattice. Based on Monte Carlo results, we establish that the continuum limit can be demonstrated by an atomic quantum simulation by employing the feature of asymptotic freedom. We discuss a protocol for the adiabatic preparation of the ground state of the system, the real-time evolution of a false θ-vacuum state after a quench, and we propose experiments to unravel the phase diagram at non-zero density.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Evans, Wynne; Gerber, Urs and Wiese, Uwe-Jens

Subjects:

500 Science > 530 Physics

ISSN:

0003-4916

Publisher:

Elsevier

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

03 Aug 2016 16:01

Last Modified:

03 Aug 2016 16:01

Publisher DOI:

10.1016/j.aop.2016.03.012

ArXiv ID:

1507.06788

BORIS DOI:

10.7892/boris.85276

URI:

https://boris.unibe.ch/id/eprint/85276

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