Filter function formalism beyond pure dephasing and non-Markovian noise in singlet-triplet qubits

Edwin Barnes; Mark Spencer Rudner; Frederico Martins; Filip Kazimierz Malinowski; Charles M. Marcus; Ferdinand Kuemmeth

doi:10.1103/physrevb.93.121407

Filter function formalism beyond pure dephasing and non-Markovian noise in singlet-triplet qubits

Edwin Barnes, Mark Spencer Rudner, Frederico Martins, Filip Kazimierz Malinowski, Charles M. Marcus, Ferdinand Kuemmeth

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18 Citationer (Scopus)

Abstract

The filter function formalism quantitatively describes the dephasing of a qubit by a bath that causes Gaussian fluctuations in the qubit energies with an arbitrary noise power spectrum. Here, we extend this formalism to account for more general types of noise that couple to the qubit through terms that do not commute with the qubit's bare Hamiltonian. Our approach applies to any power spectrum that generates slow noise fluctuations in the qubit's evolution. We demonstrate our formalism in the case of singlet-triplet qubits subject to both quasistatic nuclear noise and 1/ωα charge noise and find good agreement with recent experimental findings. This comparison shows the efficacy of our approach in describing real systems and additionally highlights the challenges with distinguishing different types of noise in free induction decay experiments.

Originalsprog	Engelsk
Artikelnummer	121407
Tidsskrift	Physical Review B
Vol/bind	93
Udgave nummer	12
ISSN	2469-9950
DOI	https://doi.org/10.1103/physrevb.93.121407
Status	Udgivet - 16 mar. 2016

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10.1103/physrevb.93.121407

PhysRevB.93.121407Forlagets udgivne version, 520 KB

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AU - Marcus, Charles M.

AU - Kuemmeth, Ferdinand

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AB - The filter function formalism quantitatively describes the dephasing of a qubit by a bath that causes Gaussian fluctuations in the qubit energies with an arbitrary noise power spectrum. Here, we extend this formalism to account for more general types of noise that couple to the qubit through terms that do not commute with the qubit's bare Hamiltonian. Our approach applies to any power spectrum that generates slow noise fluctuations in the qubit's evolution. We demonstrate our formalism in the case of singlet-triplet qubits subject to both quasistatic nuclear noise and 1/ωα charge noise and find good agreement with recent experimental findings. This comparison shows the efficacy of our approach in describing real systems and additionally highlights the challenges with distinguishing different types of noise in free induction decay experiments.

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Filter function formalism beyond pure dephasing and non-Markovian noise in singlet-triplet qubits

Abstract

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