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Thermodynamics of Statistical Anyons

PRX Quantum, 2021
In low-dimensional systems, indistinguishable particles can display statistics that interpolate between bosons and fermions. Signatures of these “anyons” have been detected in two-dimensional quasiparticle excitations of the fractional quantum Hall ...
Sebastian Deffner, Nathan M Myers
exaly   +3 more sources

Squeezing anyons for braiding on small lattices [PDF]

Physical Review Research, 2021
Adiabatically exchanging anyons gives rise to topologically protected operations on the quantum state of the system, but the desired result is only achieved if the anyons are well separated, which requires a sufficiently large area.
N. S. Srivatsa, Xikun Li, Anne E. B. Nielsen   +2 more
doaj   +2 more sources

Anyonic quasiparticles of hardcore anyons [PDF]

Physical Review B, 2020
Strongly interacting topologically ordered many-body systems consisting of fermions or bosons can host exotic quasiparticles with anyonic statistics. This raises the question whether many-body systems of anyons can also form anyonic quasiparticles. Here, we show that one can, indeed, construct many-anyon wavefunctions with anyonic quasiparticles.
Julia Wildeboer, Aniket Patra, Sourav Manna, Anne E. B. Nielsen   +3 more
openaire   +5 more sources

Realizing string-net condensation: Fibonacci anyon braiding for universal gates and sampling chromatic polynomials [PDF]

Nature Communications
The remarkable complexity of a topologically ordered many-body quantum system is encoded in the characteristics of its anyons. Quintessential predictions emanating from this complexity employ the Fibonacci string net condensate (Fib SNC) and its anyons ...
Zlatko K. Minev, Khadijeh Najafi, Swarnadeep Majumder, Juven Wang, Ady Stern, Eun-Ah Kim, Chao-Ming Jian, Guanyu Zhu   +7 more
doaj   +2 more sources

Non-Abelian anyon collider [PDF]

Nature Communications, 2022
Colliders are used to probe particles’ quantum statistical properties. Now, a theoretical proposal for a collider for anyons (a type of topological quasiparticles occurring in 2D systems) is reported, which can be used to explore the braiding statistics ...
June-Young M. Lee, H.-S. Sim
doaj   +2 more sources

On superconformal anyons [PDF]

Journal of High Energy Physics, 2016
In d=2+1 dimensions, there exist field theories which are non-relativistic and superconformal. These theories describe two species of anyons, whose spins differ by 1/2, interacting in a harmonic trap. We compute the dimensions of chiral primary operators.
Nima Doroud, David Tong, Carl Turner
openaire   +6 more sources

Experimental quantum simulation of a topologically protected Hadamard gate via braiding Fibonacci anyons [PDF]

The Innovation, 2023
Topological quantum computation (TQC) is one of the most striking architectures that can realize fault-tolerant quantum computers. In TQC, the logical space and the quantum gates are topologically protected, i.e., robust against local disturbances.
Yu-ang Fan, Yingcheng Li, Yuting Hu, Yishan Li, Xinyue Long, Hongfeng Liu, Xiaodong Yang, Xinfang Nie, Jun Li, Tao Xin, Dawei Lu, Yidun Wan   +11 more
doaj   +2 more sources

Signature of anyonic statistics in the integer quantum Hall regime [PDF]

Nature Communications
Anyons are exotic low-dimensional quasiparticles whose unconventional quantum statistics extend the binary particle division into fermions and bosons. The fractional quantum Hall regime provides a natural host, with the first convincing anyon signatures ...
P. Glidic, I. Petkovic, C. Piquard, A. Aassime, A. Cavanna, Y. Jin, U. Gennser, C. Mora, D. Kovrizhin, A. Anthore, F. Pierre   +10 more
doaj   +2 more sources

Comparing Fractional Quantum Hall Laughlin and Jain Topological Orders with the Anyon Collider

Physical Review X, 2023
Anyon collision experiments have recently demonstrated the ability to discriminate between fermionic and anyonic statistics. However, only one type of anyons associated with the simple Laughlin state at filling factor ν=1/3 has been probed so far.
M. Ruelle, E. Frigerio, J.-M. Berroir, B. Plaçais, J. Rech, A. Cavanna, U. Gennser, Y. Jin, G. Fève   +8 more
doaj   +1 more source

Emergence of Anyons on the Two-Sphere in Molecular Impurities

Atoms, 2021
Recently it was shown that anyons on the two-sphere naturally arise from a system of molecular impurities exchanging angular momentum with a many-particle bath (Phys. Rev. Lett. 126, 015301 (2021)).
Morris Brooks, Mikhail Lemeshko, Douglas Lundholm, Enderalp Yakaboylu   +3 more
doaj   +1 more source