Quantum metamaterial without local control

Швецов, А. В.; Satanin, A. M.; Nori, Franco; Savel’ev, Sergey; Zagoskin, A. M.

doi:10.1103/physrevb.87.235410

Cited by 16 publications

(27 citation statements)

References 32 publications

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“…In a recent experiment 350 , a charge qubit coupled to a strip line had a dephasing time in excess of 200 ns, i.e., a dephasing rate of 5 MHz, and a photon loss rate from the cavity of 0.57 MHz. Those frequencies are very small compared with the transition frequency of the considered SCQs which is of the order of the Josephson energy (i.e., a few GHz) 144,148 . Therefore, we have neglected such decoherence effects here.…”

Section: Approximations and Analytical Solutionsmentioning

confidence: 91%

“…There are several theoretical investigations on the physics of one-dimensional arrays of superconducting qubits coupled to transmission-line resonators 144,145,146,147,148,149,150,151,152 . Moreover, two-dimensional 153 and three-dimensional 35 SCQMMs based on Josephson junction networks were proposed.…”

Section: Summary Of Earlier Work In Superconducting Metamaterialsmentioning

confidence: 99%

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Superconducting metamaterials

Lazarides

Tsironis

2018

Physics Reports

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Metamaterials, i.e. artificial, man-made media designed to achieve properties not available in natural materials, have been the focus of intense research during the last two decades. Many properties have been discovered and multiple designs have been devised that lead to multiple conceptual and practical applications. Superconducting metamaterials made of superconducting metals have the advantage of ultra low losses, a highly desirable feature. The additional use of the celebrated Josephson effect and SQUID (superconducting quantum interference device) configurations enrich the domain of superconducting metamaterials and produce further specificity and functionality. SQUID-based metamaterials are both theoretically investigated but also fabricated and analyzed experimentally in many laboratories and exciting new phenomena have been found both in the classical and quantum realms. The enticing feature of a SQUID is that it is a unique nonlinear oscillator that can be actually manipulated through multiple external means. This domain flexibility is inherited to SQUID-based metamaterials and metasurfaces, i.e. extended units that contain a large arrangement of SQUIDs in various interaction configurations. Such a unit can be viewed theoretically as an assembly of weakly coupled nonlinear oscillators and as such presents a nonlinear dynamics laboratory where numerous, classical as well as quantum complex, spatio-temporal phenomena may be explored. In this review we focus primarily on SQUID-based superconducting metamaterials and present basic properties related to their individual and collective responses to external drives; the work summarized here is primarily theoretical and computational with nevertheless explicit presentation of recent experimental works. We start by showing how a SQUID-based system acts as a genuine metamaterial with right as well as left handed properties, demonstrate that the intrinsic Josephson nonlinearity leads to wide-band tunability, intrinsic nonlinear as well as flat band localization. We explore further exciting properties such as multistability and self-organization and the emergence of counter-intuitive chimera states of selective, partial organization. We then dwell into the truly quantum regime and explore the interaction of electromagnetic pulses with superconducting qubit units where the coupling between the two yields phenomena such as self-induced transparency and superradiance. We thus attempt to present the rich behavior of coupled superconducting units and point to their basic properties and practical utility. Abstract1 Contents 2 1. High-frequency magnetism, in particular, exhibited by magnetic metamaterials, is considered one of the "forbidden fruits" in the Tree of Knowledge that has been brought forth by metamaterial research 9 . Their unique properties allow them to form a material base for other functional devices with tuning and switching capabilities 9,10,11 . The scientific activity on metamaterials which has exploded since their first experimental demonstration 12,13...

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Section: Approximations and Analytical Solutionsmentioning

confidence: 91%

Section: Summary Of Earlier Work In Superconducting Metamaterialsmentioning

confidence: 99%

Superconducting metamaterials

Lazarides

Tsironis

2018

Physics Reports

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“…13.5b. Here, instead of (13.52) and (13.53), we solved directly the difference equations (similar to (13.35), which reduce to the former in the continuous limit [31]. …”

Section: )mentioning

confidence: 99%

“…Fortunately, there can be a way around this requirement, allowing us to limit the amount of access by what is actually needed to realize a particular property of a quantum metamaterial. A simple example is a spatially periodic modulation of the absolute value of qubits' quantum state in a 1D quantum metamaterial, which can be achieved without a direct local access to the qubits [31]. Instead, it is enough to send two properly shaped electromagnetic pulses through the system in the opposite directions: their interference produces the desired spatial pattern.…”

Section: Initializing a Quantum Photonic Crystalmentioning

confidence: 99%

Superconducting Quantum Metamaterials

Zagoskin

2014

Nonlinear, Tunable and Active Metamaterials

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Quantum metamaterials is a concept bridging the fields of conventional metamaterials and quantum processing in solid state. These are artificial media comprised of quantum coherent, specifically designed unit elements (e.g., qubits), such that the quantum state of these elements can be externally controlled, and that the system maintains quantum coherence on the characteristic times and scales of electromagnetic signal propagation through it. This chapter focuses on quantum metamaterials based on superconducting qubits, which-due to the developments in theory and experimental and fabrication techniques over the last decade-currently provide the most feasible implementation of the concept. IntroductionThe term "quantum metamaterial" was first introduced as a logical extension of a conventional metamaterial in [1, 2], independently and in somewhat different contexts. In [1] it was applied to the plasmonic properties of a stack of 2D layers, each of them thin enough for the motion of electrons in the normal direction to be completely quantized. Therefore "the wavelike nature of matter" had to be taken into account at a single-electron level, but the question of quantum coherence in the system did not arise. On the contrary, in [2] the requirement that their system comprised of artificial atoms (qubits) maintains quantum coherence on the time scale of the electromagnetic pulse propagation across it was made explicit, along with the direct control of the quantum state of at least some qubits, for the reason that it was the coherent quantum dynamics of qubits, that determined the "optical" properties of the system. Currently the term "quantum metamaterial" is being used in both senses (see, e.g., [3][4][5][6][7][8]).

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“…Therefore, we rely on the numerical solution of the equations describing the pulse propagation in the system. As in [3,27], we treat the electromagnetic field classically, which is the standard approximation in treating atom-field interactions for large field amplitudes (see, e.g., [28]). We also approximate the quantum state of the quantum metamaterial by a product of single-qubit wave functions.…”

Section: Introductionmentioning

confidence: 99%

Effects of lasing in a one-dimensional quantum metamaterial

et al. 2015

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Citation: ASAI, H. et al, 2015. Effects of lasing in a one-dimensional quantum metamaterial. Physical Review B, 91 134513.Additional Information:• The published version of the article is also available at PHYSICAL REVIEW B 91, 134513 (2015) Effects of lasing in a one-dimensional quantum metamaterial Electromagnetic pulse propagation in a quantum metamaterial, an artificial, globally quantum coherent optical medium, is numerically simulated. We show that a one-dimensional quantum metamaterial based on superconducting quantum bits, initialized in an easily reachable factorized excited state, demonstrates lasing in the microwave range, accompanied by the chaotization of qubit states and generation of higher harmonics. These effects may provide a tool for characterization and optimization of quantum metamaterial prototypes.

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Quantum metamaterial without local control

Cited by 16 publications

References 32 publications

Superconducting metamaterials

Superconducting metamaterials

Superconducting Quantum Metamaterials

Effects of lasing in a one-dimensional quantum metamaterial

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