2006
DOI: 10.1103/physrevb.74.024524
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Model of qubits as devices to detect the third moment of current fluctuations

Abstract: Under appropriate conditions, controllable two-level systems can be used to detect the third moment of current fluctuations. We derive a master equation for a quantum system coupled to a bath valid to the third order in the coupling between the system and the environment. In this approximation the reduced dynamics of the quantum system depends on the frequency-dependent third moment. Specializing to the case of a controllable two-level system ͑a qubit͒ and in the limit in which the splitting between the levels… Show more

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Cited by 12 publications
(17 citation statements)
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“…Accordingly, the driving by Poissonian noise is taken into account exactly as in (4). As a consequence, the non-Gaussian cumulants are identical to the results specified in (14) and (16). Only the second cumulant carries quantum mechanical information via the damping-dependent equilibrium variance due to a heat bath with ohmic spectral density, i.e.…”
Section: Quantum Mechanics In Coordinate Spacesupporting
confidence: 68%
“…Accordingly, the driving by Poissonian noise is taken into account exactly as in (4). As a consequence, the non-Gaussian cumulants are identical to the results specified in (14) and (16). Only the second cumulant carries quantum mechanical information via the damping-dependent equilibrium variance due to a heat bath with ohmic spectral density, i.e.…”
Section: Quantum Mechanics In Coordinate Spacesupporting
confidence: 68%
“…Based on an idea proposed in [6] and studied later in various scenarios [7,8], currently, several experiments are aiming to set up circuits with Josephson junctions (JJs) as detection elements [9][10][11]. JJs can be fabricated and manipulated in a very controlled way, offer a large bandwidth depending on their plasma frequency, and contain an intrinsic amplification mechanism.…”
mentioning
confidence: 99%
“…3) at V 0, as evident from Eq. (16). This slope corresponds to metallic conductance dI=dV analytically calculated in Ref.…”
mentioning
confidence: 88%
“…As for the vertical jump of PE, it is a consequence of the approximation of P 0 E by the delta-function leading from Eq. (16) and (17). However, even for large , the peak of P 0 E has a finite width of the order of e=C p (ignoring a logarithm factor) [19].…”
mentioning
confidence: 99%