Dissipation and noise in adiabatic quantum pumps

Abstract

We investigate the distribution function, the heat flow and the noise properties of an adiabatic quantum pump for an arbitrary relation of pump frequency ω and temperature. To achieve this we start with the scattering matrix approach for ac-transport. This approach leads to expressions for the quantities of interest in terms of the side bands of particles exiting the pump. The side bands correspond to particles which have gained or lost a modulation quantumhω. We find that our results for the pump current, the heat flow and the noise can all be expressed in terms of a parametric emissivity matrix. In particular we find that the current cross-correlations of a multiterminal pump are directly related a to a non-diagonal element of the parametric emissivity matrix. The approach allows a description of the quantum statistical correlation properties (noise) of an adiabatic quantum pump.

Electronic interference transport and its electron–phonon interaction in the Sb-doped Bi2Se3nanoplates synthesized by a solvothermal method

“…Then Zhu and Wang developed the Floquet scattering method to study the pumping with a series of time-periodic potentials, their main results in both the weak pumping and strong pumping regimes being consistent with experiment results [16]. Moskalets and Büttiker generalized the Floquet scattering theory to the quantum pumping in mesoscopic conductors [17]. Kim found that the Floquet scattering approach and the adiabatic scattering approach give the exactly equivalent result under the weak pumping condition for a double delta-barriers model [18].…”

“…The spin-dependent electrical current pumped into the lead can be expressed in terms of the Floquet scattering matrix S s F of the lead as [17,40] …”

Nonadiabatic charge pumping by oscillating potentials in one dimension: Results for infinite system and finite ring

“…[37]. Given all the transmission and reflection amplitudes t R/L,j and r R/L,j , the dc part of the current in, say, the right lead is given by [22,23] …”

“…With the exception of a few papers [22,[24][25][26][27]49], the earlier studies of charge pumping have generally considered systems in which oscillating potentials are applied to two or more sites. In such cases, it is known that if the oscillation frequency ω is small, the dc part of the pumped current is proportional to ω; the charge pumped per cycle (with time period 2π/ω) therefore has a finite value in the adiabatic limit ω → 0.…”

“…For the case of non-interacting electrons, theoretical studies of this phenomenon have used adiabatic scattering theory [9][10][11][12][13][14][15][16][17], Floquet scattering theory [21][22][23], the nonequilibrium Green function formalism [24][25][26][27], and the equation of motion approach [36,37]. The case of interacting electrons has been studied using a renormalization group method for weak interactions [50], and the method of bosonization for arbitrary interactions [51][52][53][54][55][56][57][58][59][60][61].…”