Internal chaos in an open quantum system: From Ericson to conductance fluctuations

Sorathia, S.; Izrailev, F. M.; Celardo, G. L.; Zelevinsky, Vladimir; Berman, G. P.

doi:10.1209/0295-5075/88/27003

Cited by 19 publications

(33 citation statements)

References 42 publications

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“…A typical antiphased behavior of the two types of correlations, first predicted in Ref. [6], is clearly shown. One of the main challenges to study correlations between different transmission channels was to take into account the role of absorption which inevitably occurs in the experimental set up.…”

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confidence: 61%

“…In Ref. [6], using Random Matrix Theory (RMT), it was shown that channel correlations strongly depends on the coupling strength between the external environment and the disordered system and on the type of correlations considered (C Σ , C Λ ). In Fig.…”

mentioning

confidence: 99%

“…(1) into account appropriately [23][24][25][26]. They enter into the variance in the following form [6]: (11) where N Σ = L(M − 2), N Λ = L(L − M + 1), L = M 2 /4 and C Σ , C Λ are the two types of correlations discussed in the introduction. As one can see, if one neglects the correlations, the first term gives 1/4 (for T = 1 and M 1), instead of the value 1/8.…”

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Channel cross correlations in transport through complex media

et al. 2016

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Measuring transmission between four antennas in microwave cavities, we investigate directly the channel cross-correlations C of the cross sections σ ab from antenna at ra to antenna r b . Specifically we look for the CΣ and CΛ, where the only difference is that CΛ has none of the four channels in common, whereas CΣ has exactly one channel in common. We find experimentally that these two channel cross-correlations are anti-phased as a function of the channel coupling strength, as predicted by theory. This anti-correlation is essential to give the correct values for the universal conductance fluctuations. To obtain a good agreement between experiment and predictions from random matrix theory the effect of absorption had to be included.PACS numbers: 03.65. Nk, 42.25.Bs Quantum transport in mesoscopic systems is at the center of interest in different fields for its relevance to quantum devices and information technology [1,2]. Quantum transport in mesoscopic systems occurs when the coherence length is larger than the system size [3]. From this point of view microwave experiments are an extraordinary laboratory for testing quantum transport in the mesoscopic regime, since the coherence length is basically infinite. Within this regime the transport is ballistic when the mean free path l is larger than the system size L and it is diffusive when l < L < ξ, where ξ is the localization length. One of the prominent examples of quantum phenomena in mesoscopic systems is given by the universal conductance fluctuations (UCF) [1,4,5]. In the UCF regime, the dimensionless variance of the conductance is independent of sample size or disorder strength and it attains the universal value of 1/8 in the ballistic regime and of 2/15 in the diffusive regime. These universal values are valid in the limit of large number of channels in the external leads and of perfect coupling between the leads and the disordered systems. On the other side, the transport properties in the mesoscopic regime are strongly affected by the coupling strength with the leads [6, 7] and by absorption or dephasing. The coupling strength with the channels can be tuned in several relevant systems, such as quantum dots or microwave cavities [1], and the number of channels can be small.At the core of UCF lies the strong correlations between the transmissions through different channels. These correlations are the signature of coherent transport, indeed for incoherent transport the correlations are zero. Channel correlations play an important role in mesoscopic transport [6], but their direct measurement is a difficult task. Here we present the results obtained from the analysis of transport through a chaotic microwave 0 0.2 0.4 0.6 0.8 1 κ -0.0008 -0.0006 -0.0004 -0.0002 0 0.0002 0.0004 0.0006 C Σ,Λ FIG. 1. (color online) Correlation functions CΣ (blue dots) and CΛ (red squares) as a function of the mean coupling κ using a frequency average of 100 MHz and all measured samples. Symbols are experimental data. Numerical data (dashed curves) have been obtained from a GO...

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Channel cross correlations in transport through complex media

et al. 2016

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“…Many results turn out to be common for nuclear physics and condensed matter physics of disordered materials [48]. Here I limit myself with few references [49][50][51][52][53][54][55][56].…”

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confidence: 99%

Atomic Nucleus as Chaotic Quantum Many-Body System

Zelevinsky

2015

Acta Phys. Pol. A

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Quantum many-body chaos is described as a practical (theoretical, experimental, and computational) instrument in physics of mesoscopic systems of interacting particles. Using mainly nuclear physics applications, it is shown that interactions of constituents create stationary states of high complexity with respect to the nean-field basis with observable properties smoothly changing along the spectrum. Both local Gaussian orthogonal ensemble type features and the global evolution along the spectrum are used to understand the many-body physics and define thermodynamic properties of isolated mesoscopic objects. Among the examples discussed, especially interesting is a chaotic enhancement of weak perturbations illustrated by a large parity violation in neutron resonances on heavy nuclei. Artificially introduced chaotic elements are used to explore the nuclear landscape and predict phase transformations.

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“…The method we use here has originally been developed for the description of nuclear reactions [32,33] with many later applications for different open mesoscopic systems ranging from universal conductance fluctuations [34] to electron transport through 1D solid state nanostructures [35,36](see review paper [37] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Non-Hermitian Hamiltonian approach to the microwave transmission through a one-dimensional qubit chain

Greenberg

Shtygashev

2015

Phys. Rev. A

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We investigate the propagation of microwave photons in a one-dimensional open waveguide interacting with a number of artificial atoms (qubits). Within the formalism of projection operators and non-Hermitian Hamiltonian approach we develop a one-photon approximation scheme for the calculation of the transmission and reflection factors of the microwave signal in a waveguide which contains an arbitrary number N of non-interacting qubits. We considered in detail the resonances and photon mediated entanglement for two and three qubits in a chain. We showed that in non Markovian case the resonance widths, which define the decay rates of the entangled state, can be much smaller than the decay width of individual qubit. It is also shown that for identical qubits in the long wavelength limit a coherent superradiant state is formed with the width being equal to the sum of the widths of spontaneous transitions of N individual qubits. The results obtained in the paper are of general nature and can be applied to any type of qubits. The specific properties of the qubit are only encoded in the two parameters: the qubit energy Ω and the rate of spontaneous emission Γ.

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Internal chaos in an open quantum system: From Ericson to conductance fluctuations

Cited by 19 publications

References 42 publications

Channel cross correlations in transport through complex media

Channel cross correlations in transport through complex media

Atomic Nucleus as Chaotic Quantum Many-Body System

Non-Hermitian Hamiltonian approach to the microwave transmission through a one-dimensional qubit chain

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