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Physica Scripta

Phononic phase gate with dark-soliton qubit

Muzzamal Iqbal Shaukat, Eduardo V. Castro, Hugo Terças

Published Feb 13, 2020• 2 citations
Publisher

Abstract

Abstract We investigate a single as well as two dark-soliton qubits in a quasi one-dimensional Bose–Einstein condensates, surrounded by a dilute set of impurities. The qubits are driven externally with the help of oscillating magnetic field gradient, to observe the decay of populated states. The existence of Dicke superradiance and subradiance phenomenon, resulting from phonon-mediated coupling between dark-soliton qubit, enables to build a quantum phase gate. This is the first study on quantum gates mediated by phonons in dark-soliton qubit.

DOI
10.1088/1402-4896/ab7651

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•Oct 25, 2018•0 citations
Abstract We investigate a single as well as two dark-soliton qubits in a quasi one-dimensional Bose–Einstein condensates, surrounded by a dilute set of impurities. The qubits are driven externally with the help of oscillating magnetic field gradient, to observe the decay of populated states. The existence of Dicke superradiance and subradiance phenomenon, resulting from phonon-mediated coupling between dark-soliton qubit, enables to build a quantum phase gate. This is the first study on quantum gates mediated by phonons in dark-soliton qubit.
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 thanks to their appreciable long lifetime. We investigate the spontaneous generation of entanglement between dark-soliton qubits in the dissipative process of spontaneous emission. By driving the qubits with the help of oscillating magnetic field gradients, we observe the formation of long distance steady-state concurrence. Our results suggest that dark-soliton qubits are good candidates for quantum information protocols based purely on matter-wave phononics.
We study the possibility of using dark soliton in quasi one dimensional Bose Einstein condensates to produce two level system (qubits) by exploiting the intrinsic nonlinear and the coherent nature of the matter waves. We calculate the soliton spectrum and the conditions for a qubit to exist. We also compute the coupling between the phonons and the soliton and investigate the emission rate of the qubits in that case. Remarkably, the qubit lifetime is estimated to be of the order of a few seconds, being by the dark soliton "death" due to quantum evaporation.
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.
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.
We demonstrate the possibility of drastically reducing the velocity of phonons in quasi-one-dimensional Bose-Einstein condensates. Our scheme consists of a dilute dark soliton ``gas'' that provide the trapping for the impurities that surround the condensate. We tune the interaction between the impurities and the condensate particles in such a way that the dark solitons result in an array of qutrits (three-level structures). We compute the phonon-soliton coupling and investigate the decay rates of these three-level qutrits inside the condensate. As such, we are able to reproduce the phenomenon of acoustic transparency based purely on matter-wave phononics, in analogy with the electromagnetically induced transparency effect in quantum optics. Thanks to the unique properties of transmission and dispersion of dark solitons, we show that the speed of an acoustic pulse can be brought down to \ensuremath{\sim}5 $\ensuremath{\mu}\mathrm{m}$/s, \ensuremath{\sim}103{10}^{3}103 times lower than the condensate sound speed. This is a value that greatly underdoes most of the reported studies for phononic platforms. We believe the present work could pave the stage for a new generation of ``stopped-sound''-based quantum information protocols.
We demonstrate the possibility of drastically reducing the velocity of phonons in quasi one-dimensional Bose-Einstein condensates. Our scheme consists of a dilute dark-soliton gas that provide the trapping for the impurities that surround the condensate. We tune the interaction between the impurities and the condensate particles in such a way that the dark solitons result in an array of {\it qutrits} (three-level structures). We compute the phonon-soliton coupling and investigate the decay rates of these three-level qutrits inside the condensate. As such, we are able to reproduce the phenomenon of acoustic transparency based purely on matter wave phononics, in analogy with the electric induced transparency (EIT) effect in quantum optics. Thanks to the unique properties of transmission and dispersion of dark solitons, we show that the speed of an acoustic pulse can be brought down to ∼5\sim 5∼5 μ\muμm/s, ∼103\sim 10^3∼103 times lower than the condensate sound speed. This is a record value that greatly underdoes most of the reported studies for phononic platforms. We believe the present work could pave the stage for a new generation of stopped-sound based quantum information protocols.