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Bound states in microwave QED: Crossover from waveguide to cavity regime | | N. Pradeep Kumar
; Andrès Rosario Hamann
; Rohit Navarathna
; Maximilian Zanner
; Mikhail Pletyukhov
; Arkady Fedorov
; | | Date: |
1 Aug 2022 | | Abstract: | Light-matter interaction at the single-quantum level is the heart of many
regimes of high fundamental importance to modern quantum technologies. Strong
interaction of a qubit with a single photon of an electromagnetic field mode is
described by the cavity/circuit electrodynamics (QED) regime which is one of
the most advanced platforms for quantum computing. The opposite regime of the
waveguide QED, where qubits interact with a continuum of modes in an infinite
one-dimensional space, is also at the focus of recent research revealing novel
quantum phenomena. Despite the demonstration of several key features of
waveguide QED, the transition from an experimentally realizable finite-size
system to the theoretically assumed infinite device size is neither rigorously
justified nor fully understood. In this paper, we formulate a unifying theory
which under a minimal set of standard approximations accounts for physical
boundaries of a system in all parameter domains. Considering two qubits in a
rectangular waveguide which naturally exhibits a low frequency cutoff we are
able to account for infinite number of modes and obtain an accurate description
of the waveguide transmission, a life-time of a qubit-photon bound state and
the exchange interaction between two qubit-photon bounds states. For
verification, we compare our theory to experimental data obtained for two
superconducting qubits in a rectangular waveguide demonstrating how the
infinite size limit of waveguide QED emerges in a finite-size system. Our
theory can be straightforwardly extended to other waveguides such as the
photonic crystal and coupled cavity arrays. | | Source: | arXiv, 2208.00558 | | Services: | Forum | Review | PDF | Favorites | |
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