40 citations · 146 across the 16 of their papers we have counts for
16 papers
Majorana-XYZ subsystem code
Tobias Busse, Lauri Toikka
Building fault-tolerant quantum computers is a current priority for the quantum computing industry and academic counterparts. We present a quantum error correction code encoding a…
Long Josephson junctions with exciton-polariton condensates
A. Muñoz Mateo, Y. G. Rubo, L. A. Toikka
We demonstrate the possibility to build stable Josephson -junction stripes with exciton-polariton condensates. The stability of the -junction between arbitrary long polariton…
Disorder-induced two-body localised state in interacting quantum walks
L. A. Toikka
We observe the onset of non-ergodicity from ballistic propagation of a two-body bound state in an interacting discrete-time quantum walk (DTQW) due to time-dependent disorder in th…
Non-Abelian Majorana fermions in topological -wave Fermi superfluids
L. A. Toikka
By solving the Bogoliubov--De Gennes equations analytically, we derive the fermionic zero-modes satisfying the Majorana property that exist in vortices of a two-dimensional -wav…
Many-body dynamical localisation of coupled quantum kicked rotors
L. A. Toikka, A. Andreanov
The quantum motion of coupled kicked rotors is mapped to an interacting -particle Anderson-Aubry-Andr tight-binding problem supporting many-body localised (MBL) phases. I…
Necessary and sufficient conditions for flat bands in -dimensional -band lattices with complex-valued nearest-neighbour hopping
L. A. Toikka, A. Andreanov
We formulate the necessary and sufficient conditions for the existence of dispersionless energy eigenvalues (so-called `flat bands') and their associated compact localized eigensta…
Accurate projective two-band description of topological superfluidity in spin-orbit-coupled Fermi gases
J. Brand, L. A. Toikka, U. Zülicke
The interplay of spin-orbit coupling and Zeeman splitting in ultracold Fermi gases gives rise to a topological superfluid phase in two spatial dimensions that can host exotic Major…
Vortex dipole precession in a Fermi superfluid with Rashba spin-orbit coupling
L. A. Toikka
We present a closed-form expression for the time dynamics of a balanced Fermi superfluid with s-wave pairing and Rashba spin-orbit (SO) coupling. Solving the associated self-consis…
Boson-vortex duality in compressible spin-orbit coupled BECs
L. A. Toikka
Using a (1+2)-dimensional boson-vortex duality between non-linear electrodynamics and a two-component compressible Bose-Einstein condensate (BEC) with spin-orbit (SO) coupling, we…
Exactly solvable model for a solitonic vortex in a compressible superfluid
L. A. Toikka, J. Brand
Vortex motion is a complex problem due to the interplay between the short-range physics at the vortex core level and the long-range hydrodynamical effects. Here we show that the hy…
Analytic Vortex Dynamics in an Annular Bose-Einstein Condensate
L. A. Toikka, K. -A. Suominen
We consider analytically the dynamics of an arbitrary number and configuration of vortices in an annular Bose-Einstein condensate obtaining expressions for the free energy and vort…
Reversible decay of ring dark solitons
L. A. Toikka, K. -A. Suominen
We show how boundary effects can cause a Bose-Einstein condensate to periodically oscillate between a (circular) array of quantised vortex-antivortex pairs and a (ring) dark solito…
Creation and revival of ring dark solitons in a toroidal Bose-Einstein condensate
L. A. Toikka, O. Kärki, K. -A. Suominen
We propose a protocol for the simultaneous controlled creation of multiple concentric ring dark solitons in a toroidally trapped Bose-Einstein condensate. The decay of these solito…
Self-interference of a toroidal Bose-Einstein condensate
L. A. Toikka
We demonstrate the role played by a ring trap and the associated ring geometry in inducing self-interference of a toroidal Bose-Einstein condensate. We start by showing how the exi…
The Snake Instability of Ring Dark Solitons in Toroidally Trapped Bose-Einstein Condensates
Lauri Toikka, Kalle-Antti Suominen
We show that the onset of the snake instability of ring dark solitons requires a broken symmetry. We also elucidate explicitly the connection between imaginary Bogoliubov modes and…
Exact Soliton-like Solutions of the Radial Gross-Pitaevskii Equation
Lauri Toikka, Jarmo Hietarinta, Kalle-Antti Suominen
We construct exact ring soliton-like solutions of the cylindrically symmetric (i.e., radial) Gross- Pitaevskii equation with a potential, using the similarity transformation method…