Inverse design of dissipative quantum steady-states with implicit differentiation

• URL: http://arxiv.org/abs/2011.12808v1
• Date: Wed, 25 Nov 2020 15:08:38 GMT
• Title: Inverse design of dissipative quantum steady-states with implicit differentiation
• Authors: Rodrigo A. Vargas-Hern\'andez, Ricky T. Q. Chen, Kenneth A. Jung, Paul Brumer
• Abstract summary: Inverse design of a property that depends on the steady-state of an open quantum system is commonly done by grid-search type of methods. We present a new methodology that allows us to compute the gradient of the steady-state of an open quantum system with respect to any parameter of the Hamiltonian.
• Score: 7.862208848127913
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Inverse design of a property that depends on the steady-state of an open quantum system is commonly done by grid-search type of methods. In this paper we present a new methodology that allows us to compute the gradient of the steady-state of an open quantum system with respect to any parameter of the Hamiltonian using the implicit differentiation theorem. As an example, we present a simulation of a spin-boson model where the steady-state solution is obtained using Redfield theory.

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