Details
| Original language | English |
|---|---|
| Pages (from-to) | 885-906 |
| Number of pages | 22 |
| Journal | Quantum information processing |
| Volume | 10 |
| Issue number | 6 |
| Publication status | Published - 24 Sept 2011 |
| Externally published | Yes |
Abstract
We discuss in detail the implementation of an open-system quantum simulator with Rydberg states of neutral atoms held in an optical lattice. Our scheme allows one to realize both coherent as well as dissipative dynamics of complex spin models involving many-body interactions and constraints. The central building block of the simulation scheme is constituted by a mesoscopic Rydberg gate that permits the entanglement of several atoms in an efficient, robust and quick protocol. In addition, optical pumping on ancillary atoms provides the dissipative ingredient for engineering the coupling between the system and a tailored environment.As an illustration, we discuss how the simulator enables the simulation of coherent evolution of quantum spin models such as the two-dimensional Heisenberg model and Kitaev's toric code, which involves four-body spin interactions.We moreover show that in principle also the simulation of lattice fermions can be achieved. As an example for controlled dissipative dynamics, we discuss ground state cooling of frustration-free spin Hamiltonians.
Keywords
- Digital quantum simulation, Dissipative dynamics, Quantum simulator, Rydberg atoms
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Theoretical Computer Science
- Computer Science(all)
- Signal Processing
- Mathematics(all)
- Modelling and Simulation
- Engineering(all)
- Electrical and Electronic Engineering
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In: Quantum information processing, Vol. 10, No. 6, 24.09.2011, p. 885-906.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Digital quantum simulation with Rydberg atoms
AU - Weimer, H.
AU - Müller, M.
AU - Büchler, H. P.
AU - Lesanovsky, I.
N1 - Funding information: Acknowledgments H.W. acknowledges support by the National Science Foundation through a grant for the Institute for Theoretical Atomic, Molecular and Optical Physics at Harvard University and Smithso-nian Astrophysical Observatory and by a fellowship within the Postdoc Program of the German Academic Exchange Service (DAAD). I.L acknowledges funding by EPSRC. M.M. acknowledges support by the Austrian Science Fund (FOQUS), the European Commission (AQUTE) and the Institute of Quantum Information.
PY - 2011/9/24
Y1 - 2011/9/24
N2 - We discuss in detail the implementation of an open-system quantum simulator with Rydberg states of neutral atoms held in an optical lattice. Our scheme allows one to realize both coherent as well as dissipative dynamics of complex spin models involving many-body interactions and constraints. The central building block of the simulation scheme is constituted by a mesoscopic Rydberg gate that permits the entanglement of several atoms in an efficient, robust and quick protocol. In addition, optical pumping on ancillary atoms provides the dissipative ingredient for engineering the coupling between the system and a tailored environment.As an illustration, we discuss how the simulator enables the simulation of coherent evolution of quantum spin models such as the two-dimensional Heisenberg model and Kitaev's toric code, which involves four-body spin interactions.We moreover show that in principle also the simulation of lattice fermions can be achieved. As an example for controlled dissipative dynamics, we discuss ground state cooling of frustration-free spin Hamiltonians.
AB - We discuss in detail the implementation of an open-system quantum simulator with Rydberg states of neutral atoms held in an optical lattice. Our scheme allows one to realize both coherent as well as dissipative dynamics of complex spin models involving many-body interactions and constraints. The central building block of the simulation scheme is constituted by a mesoscopic Rydberg gate that permits the entanglement of several atoms in an efficient, robust and quick protocol. In addition, optical pumping on ancillary atoms provides the dissipative ingredient for engineering the coupling between the system and a tailored environment.As an illustration, we discuss how the simulator enables the simulation of coherent evolution of quantum spin models such as the two-dimensional Heisenberg model and Kitaev's toric code, which involves four-body spin interactions.We moreover show that in principle also the simulation of lattice fermions can be achieved. As an example for controlled dissipative dynamics, we discuss ground state cooling of frustration-free spin Hamiltonians.
KW - Digital quantum simulation
KW - Dissipative dynamics
KW - Quantum simulator
KW - Rydberg atoms
UR - http://www.scopus.com/inward/record.url?scp=80755168300&partnerID=8YFLogxK
U2 - 10.1007/s11128-011-0303-5
DO - 10.1007/s11128-011-0303-5
M3 - Article
AN - SCOPUS:80755168300
VL - 10
SP - 885
EP - 906
JO - Quantum information processing
JF - Quantum information processing
SN - 1570-0755
IS - 6
ER -