| 1. |
- Guo, Lingzhen, 1982, et al.
(author)
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Effective long-distance interaction from short-distance interaction in a periodically driven one-dimensional classical system
- 2016
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In: Physical Review A - Atomic, Molecular, and Optical Physics. - 2469-9926 .- 2469-9934. ; 93:5
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Journal article (peer-reviewed)abstract
- We study the classical dynamics of many interacting particles in a periodically driven one-dimensional (1D) system. We show that under the rotating wave approximation (RWA), a short-distance 1D interaction (delta function or hard-core interaction) becomes a long-distance two-dimensional (2D) interaction which only depends on the distance in the phase space of the rotating frame. The RWA interaction describes the effect of the interaction on the slowly changing amplitude and phase of the oscillating particles, while the fast oscillations take on the role of a force carrier, which allows for interaction over much larger effective distances.
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| 2. |
- Jung, P., et al.
(author)
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Multistability and switching in a superconducting metamaterial
- 2014
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In: Nature Communications. - : Springer Science and Business Media LLC. - 2041-1723 .- 2041-1723. ; 5
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Journal article (peer-reviewed)abstract
- The field of metamaterial research revolves around the idea of creating artificial media that interact with light in a way unknown from naturally occurring materials. This is commonly achieved using sub-wavelength lattices of electronic or plasmonic structures, so-called meta-atoms. One of the ultimate goals for these tailored media is the ability to control their properties in situ. Here we show that superconducting quantum interference devices can be used as fast, switchable meta-atoms. We find that their intrinsic nonlinearity leads to simultaneously stable dynamic states, each of which is associated with a different value and sign of the magnetic susceptibility in the microwave domain. Moreover, we demonstrate that it is possible to switch between these states by applying nanosecond-long pulses in addition to the microwave-probe signal. Apart from potential applications for this all-optical metamaterial switch, the results suggest that multistability can also be utilized in other types of nonlinear meta-atoms. © 2014 Macmillan Publishers Limited. All rights reserved.
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| 3. |
- Leppäkangas, Juha, 1979, et al.
(author)
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Antibunched Photons from Inelastic Cooper-Pair Tunneling
- 2015
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In: Physical Review Letters. - 1079-7114 .- 0031-9007. ; 115:2
-
Journal article (peer-reviewed)abstract
- We demonstrate theoretically that charge transport across a Josephson junction, voltage-biased through a resistive environment, produces antibunched photons. We develop a continuous-mode description of the emitted radiation field in a semi-infinite transmission line terminated by the Josephson junction. Within a perturbative treatment in powers of the tunneling coupling across the Josephson junction, we capture effects originating in charging dynamics of consecutively tunneling Cooper pairs. We find that within a feasible experimental setup the Coulomb blockade provided by high zero-frequency impedance can be used to create antibunched photons at a very high rate and in a very versatile frequency window ranging from a few GHz to a THz.
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| 4. |
- Cole, Jared, et al.
(author)
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Correlated transport through junction arrays in the small Josephson energy limit: incoherent Cooper-pairs and hot electrons
- 2014
-
In: New Journal of Physics. - : IOP Publishing. - 1367-2630. ; 16, s. 063019-
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Journal article (peer-reviewed)abstract
- We study correlated transport in a Josephson junction array for small Josephson energies. In this regime transport is dominated by Cooper-pair hopping, although we observe that quasiparticles can not be neglected. We assume that the energy dissipated by a Cooper-pair is absorbed by the intrinsic impedance of the array. This allows us to formulate explicit Cooper-pair hopping rates without adding any parameters to the system. We show that the current through the array is correlated and crucially, these correlations rely fundamentally on the interplay between the Cooper-pairs and equilibrium quasiparticles.
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| 5. |
- Leppäkangas, Juha, 1979, et al.
(author)
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Correlated Cooper pair transport and microwave photon emission in the dynamical Coulomb blockade
- 2016
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In: Physical Review B. - 2469-9969 .- 2469-9950. ; 93, s. 014506-
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Journal article (peer-reviewed)abstract
- We study theoretically electromagnetic radiation emitted by inelastic Cooper-pair tunneling. We consider a dc-voltage-biased superconducting transmission line terminated by a Josephson junction. We show that the generated continuous-mode electromagnetic field can be expressed as a function of the time-dependent current across the Josephson junction. The leading-order expansion in the tunneling coupling, similar to the P(E) theory, has previously been used to investigate the photon emission statistics in the limit of sequential (independent) Cooper-pair tunneling. By explicitly evaluating the system characteristics up to the fourth order in the tunneling coupling, we account for dynamics between consecutively tunneling Cooper pairs. Within this approach we investigate how temporal correlations in the charge transport can be seen in the first- and second-order coherences of the emitted microwave radiation.
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| 6. |
- Leppäkangas, Juha, 1979, et al.
(author)
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Input-output description of microwave radiation in the dynamical Coulomb blockade
- 2014
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In: New Journal of Physics. - : IOP Publishing. - 1367-2630. ; 16, s. Article nr. 015015-
-
Journal article (peer-reviewed)abstract
- We study microwave radiation emitted by a small voltage-biased Josephson junction connected to a superconducting transmission line. An input-output formalism for the radiation field is established, using a perturbation expansion in the junction's critical current. Using output field operators solved up to the second order, we estimate the spectral density and the second-order coherence of the emitted field. For typical transmission line impedances and at frequencies below the main emission peak at the Josephson frequency, radiation occurs predominantly due to two-photon emission. This emission is characterized by a high degree of photon bunching if detected symmetrically around half of the Josephson frequency. Strong phase fluctuations in the transmission line make related nonclassical phase-dependent amplitude correlations short lived, and there is no steady-state two-mode squeezing. However, the radiation is shown to violate the classical Cauchy-Schwarz inequality of intensity cross-correlations, demonstrating the nonclassicality of the photon pair production in this region.
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| 7. |
- Leppäkangas, Juha, 1979, et al.
(author)
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Multiplying and detecting propagating microwave photons using inelastic Cooper-pair tunneling
- 2018
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In: Physical Review A. - 2469-9934 .- 2469-9926. ; 97:1
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Journal article (peer-reviewed)abstract
- The interaction between propagating microwave fields and Cooper-pair tunneling across a DC-voltage-biased Josephson junction can be highly nonlinear. We show theoretically that this nonlinearity can be used to convert an incoming single microwave photon into an outgoing n-photon Fock state in a different mode. In this process, the electrostatic energy released in a Cooper-pair tunneling event is transferred to the outgoing Fock state, providing energy gain. The created multiphoton Fock state is frequency entangled and highly bunched. The conversion can be made reflectionless (impedance matched) so that all incoming photons are converted to n-photon states. With realistic parameters, multiplication ratios n > 2 can be reached. By two consecutive multiplications, the outgoing Fock-state number can get sufficiently large to accurately discriminate it from vacuum with linear postamplification and power measurement. Therefore, this amplification scheme can be used as a single-photon detector without dead time.
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| 8. |
- Leppäkangas, Juha, 1979, et al.
(author)
-
Nonclassical Photon Pair Production in a Voltage-Biased Josephson Junction
- 2013
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In: Physical Review Letters. - 1079-7114 .- 0031-9007. ; 110:26, s. 267004-
-
Journal article (peer-reviewed)abstract
- We investigate electromagnetic radiation emitted by a small voltage-biased Josephson junction connected to a superconducting transmission line. At frequencies below the well-known emission peak at the Josephson frequency (2eV/h), extra radiation is triggered by quantum fluctuations in the transmission line. For weak tunneling couplings and typical Ohmic transmission lines, the corresponding photon-flux spectrum is symmetric around half the Josephson frequency, indicating that the photons are predominately created in pairs. By establishing an input-output formalism for the microwave field in the transmission line, we give further evidence for this nonclassical photon pair production, demonstrating that it violates the classical Cauchy-Schwarz inequality for two-mode flux cross correlations. In connection to recent experiments, we also consider a stepped transmission line, where resonances increase the signal-to-noise ratio.
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