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[Fizinfo] Daniel Varjas on the hybrid kernel polynomial method

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  • From: Andras Palyi <palyi AT>
  • Subject: [Fizinfo] Daniel Varjas on the hybrid kernel polynomial method
  • Date: Thu, 2 Jul 2020 11:37:25 +0200

Dear Colleagues,

Next Monday, Daniel Varjas (TU Delft) will give an online talk as part of the
BME Exotic Quantum Phases seminar series:

Speaker: Daniel Varjas (TU Delft)
Title: "Hybrid kernel polynomial method"
Time: July 6, Monday, 14:00 (sharp)

Abstract: "The kernel polynomial method allows to sample overall spectral
properties of a quantum system, while sparse diagonalization provides
accurate information about a few important states. We present a method
combining these two approaches without loss of performance or accuracy. We
apply this hybrid kernel polynomial method to improve the computation of
thermodynamic quantities and the construction of perturbative effective
models, in a regime where neither of the methods is sufficient on its own. To
achieve this we develop a perturbative kernel polynomial method to compute
arbitrary order series expansions of expectation values. We demonstrate the
efficiency of our approach on three examples: the calculation of supercurrent
and inductance in a Josephson junction, the interaction of spin qubits
defined in a two dimensional electron gas, and the calculation of the
effective band structure in a realistic model of a semiconductor nanowire.

Link to join the talk in Teams:


Best regards,
Andras Palyi

  • [Fizinfo] Daniel Varjas on the hybrid kernel polynomial method, Andras Palyi, 07/02/2020

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