Scientific Reports 5: Article number: 10787; published online: 15 June 2015; updated: 28 February 2018

This Article contains typographical errors. In the Results section under subheading ‘Mott insulator phase in the time domain’.

“In order to describe behaviour of the interacting many-body system we may truncate the Hilbert space to a subspace spanned by Fock states |n1, …, ns〉 where the occupied modes correspond to localized wave-packets ψj moving along a s-resonant trajectory. Then, the many-body Floquet Hamiltonian reads

where and are bosonic anihilation and creation operators and . The coefficients describe interactions between particles that ocupy the same mode (for i = j) and between particles in different modes (i ≠ j).”

should read:

“In order to describe behaviour of the interacting many-body system we may truncate the Hilbert space to a subspace spanned by Fock states |n1, …, ns〉 where the occupied modes correspond to localized wave-packets moving along a s-resonant trajectory. Then, the many-body Floquet Hamiltonian reads

where and are bosonic anihilation and creation operators. The coefficients describe interactions between particles that occupy the same mode (for i = j) and between particles in different modes (i ≠ j).”

In the Legend of Figure 2,

“Proper superpositions of the eigenstates allows one to extract 4 individual wave-packets, ψj, that are numbered in (a) and (b).”

should read:

“Proper superpositions of the eigenstates allows one to extract 4 individual wave-packets, , that are numbered in (a) and (b).”

In the Legend of Figure 3,

“The coefficients αn, in H′, are chosen so that the set of 〈〈ϕj|H′|ϕj〉〉 reproduces a chosen set of numbers Ej, where ψj’s are the wave-packets described in Fig. 2.”

should read:

“The coefficients αn, in H′, are chosen so that the set of 〈〈ϕj|H′|ϕj〉〉 reproduces a chosen set of numbers Ej, where ϕj’s are the wave-packets described in Fig. 2.”

and

“The wave-packets ψj arrive at a given position z in equidistant intervals in time, thus, the AL length in time is lt = lT.”

should read:

“The wave-packets arrive at a given position z in equidistant intervals in time, thus, the AL length in time is lt = lT.”