Erratum: Time-resolved measurement of Landau-Zener tunneling in different bases [Phys. Rev. A82, 013633 (2010)]

Abstract

In this paper [1], the images of Figs. 4 and 5 should be exchanged. The captions and the corresponding citations in text remain correct as they are presented.

Quantum Phase Diffusion in a Small Underdamped Josephson Junction

“…25.Cp Classical and quantum diffusion of Brownian particles in titled periodic potential plays a fundamental role in the dynamical behavior of many systems in science and engineering [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. Examples include current biased Josephson junctions [1][2][3][4][5][6][7][8][9], colloidal particles in arrays of laser traps [10,11], cold atoms in optical lattice or Bose-Einstein condensates [12][13][14], and various biology-inspired systems known as Brownian motors (molecular motors or life engines), which receive considerable attention in physics [15] and chemistry [16]. Because of the design flexibility, manufacturability, and controllability Josephson junctions provide an excellent test bed for making quantitative comparison of experimental data with theoretical predictions and unraveling possible new physics in the tilted periodic potential systems.…”

Chaotic level mixing in a two‐band Bose‐Hubbard model

“…As in the previous section, we drive an initial state across the resonant tunneling regime, where many non-adiabatic transitions take place. For this, we use a linear sweeping function, which is indeed inspired by Landau-Zener transition models for our system [32]: F (t) =Ḟ t + F 0 , t > 0. The rateḞ is chosen in such a way to be similar to the product of the mean level spacing s and the total width δF in the parameter F of the strongly coupled region in the spectrum.…”

Unearthing wave-function renormalization effects in the time evolution of a Bose–Einstein condensate

“…This is consistent if F d L V , namely if F 0 V 0 in Eq. (19), and leads us to the two-level approximation outlined in the previous section.…”

“…Indeed, the periodicity of the lattice implies that the afore-mentioned process occurs in a finite time, and that in the initial and final states the adiabatic levels are not infinitely separated. The corrections to the LZ transition probability due to the finite duration of the process are discussed in [20,19]. Other corrections to Eq.…”