Generation of atypical hopping and interactions by kinetic driving

Abstract

At the top of page 7, equation (12) should read:ORCID iDs G Pieplow https:/ /orcid.org/0000-0001-8133-4704 C E Creffield https:/ /orcid.org/ AbstractWe study the effect of time-periodically varying the hopping amplitude in a one-dimensional Bose-Hubbard model, such that its time-averaged value is zero. Employing Floquet theory, we derive a static effective Hamiltonian in which nearest-neighbor single-particle hopping processes are suppressed, but all even higher-order processes are allowed. Unusual many-body features arise from the combined effect of nonlocal interactions and correlated tunneling. At a critical value of the driving, the system passes from a Mott insulator to a superfluid formed by two quasi-condensates with opposite non-zero momenta. This work shows how driving of the hopping energy provides a novel form of Floquet engineering, which enables atypical Hamiltonians and exotic states of matter to be produced and controlled.

Protected cat states from kinetic driving of a boson gas

“…Its derivation is completely analogous to that of H κ , which was presented in Ref. [17]. Note that the main difference with respect to (2) is the loss of momentum conservation, and hence the necessary preservation of the the residual sum over the position x.…”

“…In Ref. [17] we provided some semiquantitative arguments to understand why the ±π/2 states are macroscopically occupied. In this paper we present additional considerations that give us a deeper understanding of the special role played here by the momenta ±π/2.…”

“…As to the Luttinger liquid analysis which we made in [17] for the ring case, we note that the hard-wall boundary conditions drastically alter the superfluid correlations [91]. This makes it harder to reliably extract Luttinger parameters from small systems.…”

Out-of-equilibrium phase transitions induced by Floquet resonances in a periodically quench-driven XY spin chain

“…These so-called Floquet resonances give rise to avoided crossings that result into the Floquet eigenstates being linear combinations of two such (near-) resonant states. As this mechanism cannot be represented by local operators, the Floquet Hamiltonian contains long-range interactions if resonances are present (note that other mechanisms can also lead to non-local terms in certain circumstances [43,44]). In such situations, the Magnus expansion is not expected to converge [13,[45][46][47][48], hence exact solutions are important for the description of these resonances.…”

Report on scipost_202005_00011v1

“…These so-called Floquet resonances give rise to avoided crossings that result into the Floquet eigenstates being linear combinations of two such (near-) resonant states. As this mechanism cannot be represented by local operators, the Floquet Hamiltonian contains long-range interactions if resonances are present (note that other mechanisms can also lead to non-local terms in certain circumstances [43,44]). In such situations, the Magnus expansion is not expected to converge [13,[45][46][47][48], hence exact solutions are important for the description of these resonances.…”