Driven quantum dot coupled to a fractional quantum Hall edge
Physical Review B: Condensed Matter and Materials Physics American Physical Society 100 (2019) 245111
Finite temperature effects on Majorana bound states in chiral p-wave superconductors
SciPost Physics SciPost 6:55 (2019) 1-18
Interaction effects and charge quantization in single-particle quantum dot emitters
Physical Review Letters American Physical Society (2019)
Abstract:
We discuss a theoretical model of an on-demand single-particle emitter that employs a quantum dot, attached to an integer or fractional quantum Hall edge state. Via an exact mapping of the model onto the spin-boson problem we show that Coulomb interactions between the dot and the chiral quantum Hall edge state, unavoidable in this setting, lead to a destruction of precise charge quantization in the emitted wave-packet. Our findings cast doubts on the viability of this set-up as a single-particle source of quantized charge pulses. We further show how to use a spin-boson master equation approach to explicitly calculate the current pulse shape in this set-up.Approximating observables on eigenstates of large many-body localized systems
Physical review B: Condensed matter and materials physics American Physical Society 99 (2019) 104201
Abstract:
Eigenstates of fully many-body localized (FMBL) systems can be organized into spin algebras based on quasilocal operators called l-bits. These spin algebras define quasilocal l-bit measurement (τzi) and l-bit flip (τxi) operators. For a disordered Heisenberg spin chain in the MBL regime we approximate l-bit flip operators by finding them exactly on small windows of systems and extending them onto the whole system by exploiting their quasilocal nature. We subsequently use these operators to represent approximate eigenstates. We then describe a method to calculate products of local observables on these eigenstates for systems of size L in O(L2) time. This algorithm is used to compute the error of the approximate eigenstates.Fractional oscillations
Nature Physics Springer Nature 15:6 (2019) 527-528