1,366 research outputs found
Probing the Tavis-Cummings level splitting with intermediate-scale superconducting circuits
We demonstrate the local control of up to eight two-level systems interacting
strongly with a microwave cavity. Following calibration, the frequency of each
individual two-level system (qubit) is tunable without influencing the others.
Bringing the qubits one by one on resonance with the cavity, we observe the
collective coupling strength of the qubit ensemble. The splitting scales up
with the square root of the number of the qubits, which is the hallmark of the
Tavis-Cummings model. The local control circuitry causes a bypass shunting the
resonator, and a Fano interference in the microwave readout, whose contribution
can be calibrated away to recover the pure cavity spectrum. The simulator's
attainable size of dressed states with up to five qubits is limited by reduced
signal visibility, and -- if uncalibrated -- by off-resonance shifts of
sub-components. Our work demonstrates control and readout of quantum coherent
mesoscopic multi-qubit system of intermediate scale under conditions of noise
Quantum sensors for microscopic tunneling systems
The anomalous low-temperature properties of glasses arise from intrinsic
excitable entities, so-called tunneling Two-Level-Systems (TLS), whose
microscopic nature has been baffling solid-state physicists for decades. TLS
have become particularly important for micro-fabricated quantum devices such as
superconducting qubits, where they are a major source of decoherence. Here, we
present a method to characterize individual TLS in virtually arbitrary
materials deposited as thin-films. The material is used as the dielectric in a
capacitor that shunts the Josephson junction of a superconducting qubit. In
such a hybrid quantum system the qubit serves as an interface to detect and
control individual TLS. We demonstrate spectroscopic measurements of TLS
resonances, evaluate their coupling to applied strain and DC-electric fields,
and find evidence of strong interaction between coherent TLS in the sample
material. Our approach opens avenues for quantum material spectroscopy to
investigate the structure of tunneling defects and to develop low-loss
dielectrics that are urgently required for the advancement of superconducting
quantum computers
Remarks on the Central Limit Theorem for Non-Convex Bodies
In this note, we study possible extensions of the Central Limit Theorem for
non-convex bodies. First, we prove a Berry-Esseen type theorem for a certain
class of unconditional bodies that are not necessarily convex. Then, we
consider a widely-known class of non-convex bodies, the so-called p-convex
bodies, and construct a counter-example for this class
Triangulations and Severi varieties
We consider the problem of constructing triangulations of projective planes
over Hurwitz algebras with minimal numbers of vertices. We observe that the
numbers of faces of each dimension must be equal to the dimensions of certain
representations of the automorphism groups of the corresponding Severi
varieties. We construct a complex involving these representations, which should
be considered as a geometric version of the (putative) triangulations
Slowing down light in a qubit metamaterial
The rapid progress in quantum information processing leads to a rising demand for devices to control the propagation of electromagnetic wave pulses and to ultimately realize universal and efficient quantum memory. While in recent years, significant progress has been made to realize slow light and quantum memories with atoms at optical frequencies, superconducting circuits in the microwave domain still lack such devices. Here, we demonstrate slowing down electromagnetic waves in a superconducting metamaterial composed of eight qubits coupled to a common waveguide, forming a waveguide quantum electrodynamics system. We analyze two complementary approaches, one relying on dressed states of the Autler–Townes splitting and the other based on a tailored dispersion profile using the qubits tunability. Our time-resolved experiments show reduced group velocities of down to a factor of about 1500 smaller than in vacuum. Depending on the method used, the speed of light can be controlled with an additional microwave tone or an effective qubit detuning. Our findings demonstrate high flexibility of superconducting circuits to realize custom band structures and open the door to microwave dispersion engineering in the quantum regime
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