Low Temperature Physics

Strong tunneling in the electron box: a path integral Monte Carlo analysis

Carlos P. Herrero, Gerd Schön, Andrei D. Zaikin

Published Jan 1, 2001• 0 citations

Abstract

Abstract Strong electron tunneling effects in the single-electron box are investigated by means of a path integral Monte Carlo analysis. Our results for the effective capacitance of the box are compared to previous theoretical predictions and Monte Carlo simulations. We discuss the accuracy of our simulations and convergence of our results as a function of the Trotter number used in the discretization of the path integrals.

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Low Temperature Physics

Strong tunneling in the electron box: a path integral Monte Carlo analysis

Carlos P. Herrero, Gerd Schön, Andrei D. Zaikin

Published Jan 1, 2001• 0 citations

OpenAlex

Abstract

Related papers

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E_C^*

in the limit of very small tunneling resistance. While previous Monte Carlo simulations were restricted to the weak and intermediate tunneling regimes, our method extends the range of

E_C^*

-values by more than 30 orders of magnitude. This allows us to clearly observe the exponential suppression of

E_C^*

with increasing tunneling conductance

α

. For large, but fixed

α

, the correction to the leading exponential behavior exhibits a crossover from an intermediate temperature behavior at

βE_C^* \ll 1

, to zero temperature behavior at

βE_C^*\gg 1

. We determine this correction in both regimes and compare the numerical results to the numerous and controversial theoretical predictions for the strong tunneling limit.

n

bits with a single potential barrier that a successful quantum adiabatic optimization algorithm will have to tunnel through. The height and width of this barrier depend on

n

, and by tuning these dependencies, we can make the optimization algorithm succeed or fail in polynomial time. In this article we compare the strength of quantum adiabatic tunneling with that of path-integral quantum Monte Carlo methods. We find numerical evidence that quantum Monte Carlo algorithms will succeed in the same regimes where quantum adiabatic optimization succeeds.