Two-level approximation of transmons in quantum quench experiments
- URL: http://arxiv.org/abs/2302.05169v2
- Date: Wed, 4 Oct 2023 04:06:30 GMT
- Title: Two-level approximation of transmons in quantum quench experiments
- Authors: H. S. Yan, Yong-Yi Wang, S. K. Zhao, Z. H. Yang, Z. T. Wang, Kai Xu,
Ye Tian, H. F. Yu, Heng Fan, and S. P. Zhao
- Abstract summary: We numerically investigate the accuracy and validity of the two-level approximation for the multilevel transmons based on the concept of Loschmidt echo.
We present the results for different system Hamiltonians with various initial states, qubit coupling strength, and external driving, and for two kinds of quantum quench experiments with time reversal and time evolution in one direction.
- Score: 9.814009915583153
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum quench is a typical protocol in the study of nonequilibrium dynamics
of quantum many-body systems. Recently, a number of experiments with
superconducting transmon qubits are reported, in which the spin and hard-core
boson models with two energy levels on individual sites are used. The transmons
are a multilevel system and the coupled qubits are governed by the Bose-Hubbard
model. How well they can be approximated by a two-level system has been
discussed and analysed in different ways for specific experiments in the
literature. Here, we numerically investigate the accuracy and validity of the
two-level approximation for the multilevel transmons based on the concept of
Loschmidt echo. Using this method, we are able to calculate the fidelity decay
(i.e., the time-dependent overlap of evolving wave functions) due to the state
leakage to transmon high energy levels. We present the results for different
system Hamiltonians with various initial states, qubit coupling strength, and
external driving, and for two kinds of quantum quench experiments with time
reversal and time evolution in one direction. We show quantitatively the extent
to which the fidelity decays with time for changing coupling strength (or
on-site interaction over coupling strength) and filled particle number or
locations in the initial states under specific system Hamiltonians, which may
serve as a way for assessing the two-level approximation of transmons. Finally,
we compare our results with the reported experiments using transmon qubits.
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