Entanglement sudden death and revival in quantum dark-soliton qubits
Muzzamal I. Shaukat, Eduardo. V. Castro, and Hugo Ter\c{c}as

TL;DR
This paper investigates the dynamics of entanglement between two dark soliton qubits in a Bose-Einstein condensate, revealing phenomena like entanglement sudden death and revival influenced by collective damping and interatomic distance.
Contribution
It provides the first analysis of entanglement dynamics, including collapse and revival, in dark soliton qubits within Bose-Einstein condensates, highlighting the role of collective damping.
Findings
Entanglement exhibits collapse and revival phenomena.
Entanglement dynamics depend on collective damping and interatomic distance.
Dark solitons are promising qubit platforms due to their long lifetime.
Abstract
We study the finite time entanglement dynamics between two dark soliton qubits due to quantum fluctuations in a quasi one dimensional Bose-Einstein condensates. Recently, dark solitons are proved to be an appealing platform for qubits due to their appreciably long life time. We explore the entanglement decay for an entangled state of two phonon coherences and the qubits to be in the diagonal basis of so called Dicke states. We observe the collapse and revival of the entanglement, depending critically on the collective damping term but independent of the qubit-qubit interaction for both the initial states. The collective behavior of the dark soliton qubits demonstrate the dependence of entanglement evolution on the interatomic distance.
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