Quantum Entangled Dark Solitons

Ryan V. Mishmash, Lincoln D. Carr

Ryan V. Mishmash, Ippei Danshita, C. W. Clark +1 more

Yu. P. Rybakov, T. F. Kamalov

Muzzamal Iqbal Shaukat, Eduardo V. Castro, Hugo Terças

We study the finite time entanglement dynamics between two dark-soliton qubits due to quantum fluctuations in quasi-one-dimensional Bose-Einstein condensates. Recently, dark solitons are proved to be an appealing platform for qubits due to their appreciably long lifetime. 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 initial states. The collective behavior of the dark-soliton qubits demonstrate the dependence of entanglement evolution on the interatomic distance.

Muzzamal Iqbal Shaukat, Eduardo V. Castro, Hugo Terças

We show that entanglement between two solitary qubits in quasi one-dimensional Bose-Einstein condensates can be spontaneously generated due to quantum fluctuations. Recently, we have shown that dark solitons are an appealing platform for qubits due to their appreciably long lifetime. We explore the creation of entanglement between dark soliton qubits by using the superposition of two maximally entangled states in the dissipative process of spontaneous emission. By driving the qubits with the help of Raman lasers, we observe the formation of long distance steady-state concurrence. Our results suggest that dark-soliton qubits are a good candidates for quantum information protocols based purely on matter-wave phononics.

F. Kh. Abdullaev, Sergei Darmanyan, Pulat K. Khabibullaev