Exploring Interacting Quantum Many-Body Systems by Experimentally Creating Continuous Matrix Product States in Superconducting Circuits

Eichler C, Mlynek J, Butscher J, Kurpiers P, Hammerer K, Osborne TJ, Wallraff A (2015)

Publication Type: Journal article

Publication year: 2015

Journal

Physical Review X American Physical Society

Book Volume: 5

Article Number: 041044

Journal Issue: 4

DOI: 10.1103/PhysRevX.5.041044

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.

Authors with CRIS profile

Christopher Eichler

Involved external institutions

Eidgenössische Technische Hochschule Zürich (ETHZ) / Swiss Federal Institute of Technology in Zurich CH Switzerland (CH) Gottfried Wilhelm Leibniz Universität Hannover DE Germany (DE)

How to cite

APA:

Eichler, C., Mlynek, J., Butscher, J., Kurpiers, P., Hammerer, K., Osborne, T.J., & Wallraff, A. (2015). Exploring Interacting Quantum Many-Body Systems by Experimentally Creating Continuous Matrix Product States in Superconducting Circuits. Physical Review X, 5(4). https://doi.org/10.1103/PhysRevX.5.041044

MLA:

Eichler, Christopher, et al. "Exploring Interacting Quantum Many-Body Systems by Experimentally Creating Continuous Matrix Product States in Superconducting Circuits." Physical Review X 5.4 (2015).

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