Details
| Original language | English |
|---|---|
| Article number | 041044 |
| Journal | Physical Review X |
| Volume | 5 |
| Issue number | 4 |
| Publication status | Published - 16 Dec 2015 |
Abstract
Improving the understanding of strongly correlated quantum many-body systems such as gases of interacting atoms or electrons is one of the most important challenges in modern condensed matter physics, materials research, and chemistry. Enormous progress has been made in the past decades in developing both classical and quantum approaches to calculate, simulate, and experimentally probe the properties of such systems. In this work, we use a combination of classical and quantum methods to experimentally explore the properties of an interacting quantum gas by creating experimental realizations of continuous matrix product states—a class of states that has proven extremely powerful as a variational ansatz for numerical simulations. By systematically preparing and probing these states using a circuit quantum electrodynamics system, we experimentally determine a good approximation to the ground-state wave function of the Lieb-Liniger Hamiltonian, which describes an interacting Bose gas in one dimension. Since the simulated Hamiltonian is encoded in the measurement observable rather than the controlled quantum system, this approach has the potential to apply to a variety of models including those involving multicomponent interacting fields. Our findings also hint at the possibility of experimentally exploring general properties of matrix product states and entanglement theory. The scheme presented here is applicable to a broad range of systems exploiting strong and tunable light-matter interactions.
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In: Physical Review X, Vol. 5, No. 4, 041044, 16.12.2015.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Exploring Interacting Quantum Many-Body Systems by Experimentally Creating Continuous Matrix Product States in Superconducting Circuits
AU - Eichler, Christopher
AU - Mlynek, J.
AU - Butscher, J.
AU - Kurpiers, P.
AU - Hammerer, Klemens
AU - Osborne, T. J.
AU - Wallraff, Andreas
N1 - Funding information: We thank Christoph Bruder, Ignacio Cirac, Tilman Esslinger, and Atac Imamoglu for discussions and comments. This work was supported by the European Research Council (ERC) through a Starting Grant, the NCCR QSIT, and ETHZ. C. E. acknowledges support by Princeton University through a Dicke fellowship. T. J. O. was supported by the ERC grants QFTCMPS and SIQS and by the cluster of excellence EXC201 Quantum Engineering and Space-Time Research.
PY - 2015/12/16
Y1 - 2015/12/16
N2 - Improving the understanding of strongly correlated quantum many-body systems such as gases of interacting atoms or electrons is one of the most important challenges in modern condensed matter physics, materials research, and chemistry. Enormous progress has been made in the past decades in developing both classical and quantum approaches to calculate, simulate, and experimentally probe the properties of such systems. In this work, we use a combination of classical and quantum methods to experimentally explore the properties of an interacting quantum gas by creating experimental realizations of continuous matrix product states—a class of states that has proven extremely powerful as a variational ansatz for numerical simulations. By systematically preparing and probing these states using a circuit quantum electrodynamics system, we experimentally determine a good approximation to the ground-state wave function of the Lieb-Liniger Hamiltonian, which describes an interacting Bose gas in one dimension. Since the simulated Hamiltonian is encoded in the measurement observable rather than the controlled quantum system, this approach has the potential to apply to a variety of models including those involving multicomponent interacting fields. Our findings also hint at the possibility of experimentally exploring general properties of matrix product states and entanglement theory. The scheme presented here is applicable to a broad range of systems exploiting strong and tunable light-matter interactions.
AB - Improving the understanding of strongly correlated quantum many-body systems such as gases of interacting atoms or electrons is one of the most important challenges in modern condensed matter physics, materials research, and chemistry. Enormous progress has been made in the past decades in developing both classical and quantum approaches to calculate, simulate, and experimentally probe the properties of such systems. In this work, we use a combination of classical and quantum methods to experimentally explore the properties of an interacting quantum gas by creating experimental realizations of continuous matrix product states—a class of states that has proven extremely powerful as a variational ansatz for numerical simulations. By systematically preparing and probing these states using a circuit quantum electrodynamics system, we experimentally determine a good approximation to the ground-state wave function of the Lieb-Liniger Hamiltonian, which describes an interacting Bose gas in one dimension. Since the simulated Hamiltonian is encoded in the measurement observable rather than the controlled quantum system, this approach has the potential to apply to a variety of models including those involving multicomponent interacting fields. Our findings also hint at the possibility of experimentally exploring general properties of matrix product states and entanglement theory. The scheme presented here is applicable to a broad range of systems exploiting strong and tunable light-matter interactions.
UR - http://www.scopus.com/inward/record.url?scp=85039779951&partnerID=8YFLogxK
U2 - 10.1103/PhysRevX.5.041044
DO - 10.1103/PhysRevX.5.041044
M3 - Article
AN - SCOPUS:85039779951
VL - 5
JO - Physical Review X
JF - Physical Review X
SN - 2160-3308
IS - 4
M1 - 041044
ER -