Abstract
Shaking a lattice system, by modulating the location of its sites periodically in time, is a powerful method to create effective magnetic fields in engineered quantum systems, such as cold gases trapped in optical lattices. However, such schemes are typically associated with space-dependent effective masses (tunneling amplitudes) and non-uniform flux patterns. In this work we investigate this phenomenon theoretically, by computing the effective Hamiltonians and quasienergy spectra associated with several kinds of lattice-shaking protocols. A detailed comparison with a method based on moving lattices, which are added on top of a main static optical lattice, is provided. This study allows the identification of novel shaking schemes, which simultaneously provide uniform effective mass and magnetic flux, with direct implications for cold-atom experiments and photonics.
Highlights
Using one quantum system to simulate another, an idea popularized by Feynman [1], is a fascinating and rapidly developing topic of current research [2, 3]
One particular condensed matter problem that can be simulated with engineered quantum systems, and which constitutes the core of the present paper, is the spectrum of electrons moving on a lattice subjected to a uniform magnetic field
We have described a series of schemes based on the periodic shaking of a lattice potential, with the aim of simulating the physics of a quantum particle moving on a square lattice threaded by a uniform magnetic flux
Summary
Using one quantum system to simulate another, an idea popularized by Feynman [1], is a fascinating and rapidly developing topic of current research [2, 3]. One particular condensed matter problem that can be simulated with engineered quantum systems, and which constitutes the core of the present paper, is the spectrum of electrons moving on a lattice subjected to a uniform magnetic field. Shaking the lattice at a high frequency, i.e. rapidly oscillating the position of the lattice sites, is the method we focus on in this work to modify hopping terms and generate effective magnetic fields This method is extremely general, and can be applied to a wide range of lattice systems, including cold atoms in optical lattices and arrays of photonic waveguides.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
