Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1405.1010 · Physical Review A

Capacitive coupling of two transmission line resonators mediated by the phonon number of a nanoelectromechanical oscillator

O. P. de Sá Neto, M. C. de Oliveira, F. Nicacio, Gerard J Milburn

Published Aug 25, 2014• 9 citations
arXivHTMLPDF

Abstract

Detection of quantum features in mechanical systems at the nanoscale constitutes a challenging task, given the weak interaction with other elements and the available technology. Here we describe the interaction between two monomodal transmission-line resonators (TLRs) mediated by vibrations of a nanoelectromechanical oscillator. This scheme is then employed for quantum nondemolition detection of the number of phonons in the nanoelectromechanical oscillator through a direct current measurement in the output of one of the TLRs. For that to be possible an undepleted field inside one of the TLRs works as an amplifier for the interaction between the mechanical resonator and the remaining TLR. We also show how the nonclassical nature of this system can be used for generation of tripartite entanglement and conditioned mechanical coherent superposition states, which may be further explored for detection processes.

DOI
10.1103/physreva.90.023843

Related papers

Entanglement Between Nanoelectromechanical Systems Mediated by a Transmission Line Resonator

O. P. de Sá Neto

Abstract In this letters, is considered a simple chip composed of three devices, where we have two nanoelectromechanical systems capacitive coupling with a transmission line resonator, in which this interaction is approximated to two nondegenerate parametric oscilator interaction. For Entanglement analysis, we take two identical nanoelectromechanical systems with a thermal initial state.

•Feb 1, 2022•0 citations

Quantum transducers: Integrating transmission lines and nanomechanical resonators via charge qubits

C. P. Sun, L. F. Wei, Yu-xi Liu +1 more

We propose a mechanism to interface a transmission line resonator (TLR) with a nanomechanical resonator (NAMR) by commonly coupling them to a charge qubit, a Cooper-pair box with a controllable gate voltage. Integrated in this quantum transducer or simple quantum network, the charge qubit plays the role of a controllable quantum node coherently exchanging quantum information between the TLR and NAMR. With such an interface, a quasiclassical state of the NAMR can be created by controlling a single-mode classical current in the TLR. Alternatively, a ``Cooper pair'' coherent output through the transmission line can be driven by a single-mode classical oscillation of the NAMR.

arXiv:quant-ph/0504056•Physical Review A•Feb 10, 2006•91 citations

Probing Tiny Motions of Nanomechanical Resonators: Classical or Quantum Mechanical?

L. F. Wei, Yu-xi Liu, C. P. Sun +1 more

We propose a spectroscopic approach to probe tiny vibrations of a nanomechanical resonator (NAMR), which may reveal classical or quantum behavior depending on the decoherence-inducing environment. Our proposal is based on the detection of the voltage-fluctuation spectrum in a superconducting transmission line resonator (TLR), which is indirectly coupled to the NAMR via a controllable Josephson qubit acting as a quantum transducer. The classical (quantum mechanical) vibrations of the NAMR induce symmetric (asymmetric) Stark shifts of the qubit levels, which can be measured by the voltage fluctuations in the TLR. Thus, the motion of the NAMR, including if it is quantum mechanical or not, could be probed by detecting the voltage-fluctuation spectrum of the TLR.

arXiv:quant-ph/0601042•Physical Review Letters•Dec 4, 2006•105 citations

Osciladores nanoeletromecânicos no regime quântico

O. P. de Sá Neto

One of the central issues in quantum optics is the study of statistical properties of the electromagnetic radiation.This includes any medium in which there is a vector potential or an analog that is to be quantized.In the last three decades many experiments verified the quantum behavior in nanoelectromechanical systems and, once this behavior was verified, new challenges were born.Because nanoelectromechanical devices are transducers, in this thesis I place it in a circuit mediating a capacitive coupling between two ressonant transmission lines with compatible dimensions.With a new proposal for a circuit scheme, initially I formulate the interaction Halmiltonian in the quantum regime, which will be used in two applications: being the first the generation of tripartite entangled states and the second, with a slight modification of this circuit, the creation of a method of nondemolition quantum detection of the number of phonons of the nanoelectromechanical system for thermal and Fock states.In the final stage of this thesis there is a supplementary part on the electromechanical interaction between a nanoelectromechanical system and a trapped ion.vi Resumo Uma das principais investigações dentro da área de óptica quântica é o estudo das propriedades estatísticas da radiação eletromagnética.Isso inclui qualquer meio onde exista um potencial vetor ou algo análogo para ser quantizado.Nas últimas três décadas muitos experimentos comprovaram o comportamento quântico em sistemas nanoeletromecânicos, e uma vez comprovado esse novo comportamento, nasceram novos desafios.O fato de que ressonadores nanoeletromecânicos funcionem como transdutores é utilizado nessa tese para mediar o acoplamento capacitivo entre duas linhas de transmissão ressonantes com dimensões compatíveis.Isso permitiu propor esquemas de detecção, partindo da formulação do Hamiltoniano de interação no regime quântico.A primeira aplicação trata da geração de estados emaranhados tripartite e a segunda, modificando um pouco este circuito, a criação de um método de detecção quântica não demolidora do número de fônons do sistema nanoeletromecânico para estados de Fock e térmico.Na sua etapa final consta uma parte complementar sobre interação entre um sistema nanoeletromecânico e um íon aprisionado.

•Jun 12, 2013•0 citations

Detection of Qubit-Oscillator Entanglement in Nanoelectromechanical Systems

Thomas L. Schmidt, Kjetil Børkje, Christoph Bruder +1 more

Experiments over the past years have demonstrated that it is possible to bring nanomechanical resonators and superconducting qubits close to the quantum regime and to measure their properties with an accuracy close to the Heisenberg uncertainty limit. Therefore, it is just a question of time before we will routinely see true quantum effects in nanomechanical systems. One of the hallmarks of quantum mechanics is the existence of entangled states. We propose a realistic scenario making it possible to detect entanglement of a mechanical resonator and a qubit in a nanoelectromechanical setup. The detection scheme involves only standard current and noise measurements of an atomic point contact coupled to an oscillator and a qubit. This setup could allow for the first observation of entanglement between a continuous and a discrete quantum system in the solid state.

arXiv:1002.4800•Physical Review Letters•Apr 29, 2010•25 citations

Anharmonic effects on a phonon-number measurement of a quantum-mesoscopic-mechanical oscillator

D. H. Santamore, Hsi‐Sheng Goan, Gerard J Milburn +1 more

We generalize a proposal for detecting single-phonon transitions in a single nanoelectromechanical system (NEMS) to include the intrinsic anharmonicity of each mechanical oscillator. In this scheme two NEMS oscillators are coupled via a term quadratic in the amplitude of oscillation for each oscillator. One NEMS oscillator is driven and strongly damped and becomes a transducer for phonon number in the other measured oscillator. We derive the conditions for this measurement scheme to be quantum limited and find a condition on the size of the anharmonicity. We also derive the relation between the phase diffusion back-action noise due to number measurement and the localization time for the measured system to enter a phonon-number eigenstate. We relate both these time scales to the strength of the measured signal, which is an induced current proportional to the position of the read-out oscillator.

arXiv:quant-ph/0410039•Physical Review A•Nov 12, 2004•29 citations
Detection of quantum features in mechanical systems at the nanoscale constitutes a challenging task, given the weak interaction with other elements and the available technology. Here we describe the interaction between two monomodal transmission-line resonators (TLRs) mediated by vibrations of a nanoelectromechanical oscillator. This scheme is then employed for quantum nondemolition detection of the number of phonons in the nanoelectromechanical oscillator through a direct current measurement in the output of one of the TLRs. For that to be possible an undepleted field inside one of the TLRs works as an amplifier for the interaction between the mechanical resonator and the remaining TLR. We also show how the nonclassical nature of this system can be used for generation of tripartite entanglement and conditioned mechanical coherent superposition states, which may be further explored for detection processes.
We propose a mechanism to interface a transmission line resonator (TLR) with a nanomechanical resonator (NAMR) by commonly coupling them to a charge qubit, a Cooper-pair box with a controllable gate voltage. Integrated in this quantum transducer or simple quantum network, the charge qubit plays the role of a controllable quantum node coherently exchanging quantum information between the TLR and NAMR. With such an interface, a quasiclassical state of the NAMR can be created by controlling a single-mode classical current in the TLR. Alternatively, a ``Cooper pair'' coherent output through the transmission line can be driven by a single-mode classical oscillation of the NAMR.
We propose a spectroscopic approach to probe tiny vibrations of a nanomechanical resonator (NAMR), which may reveal classical or quantum behavior depending on the decoherence-inducing environment. Our proposal is based on the detection of the voltage-fluctuation spectrum in a superconducting transmission line resonator (TLR), which is indirectly coupled to the NAMR via a controllable Josephson qubit acting as a quantum transducer. The classical (quantum mechanical) vibrations of the NAMR induce symmetric (asymmetric) Stark shifts of the qubit levels, which can be measured by the voltage fluctuations in the TLR. Thus, the motion of the NAMR, including if it is quantum mechanical or not, could be probed by detecting the voltage-fluctuation spectrum of the TLR.
One of the central issues in quantum optics is the study of statistical properties of the electromagnetic radiation.This includes any medium in which there is a vector potential or an analog that is to be quantized.In the last three decades many experiments verified the quantum behavior in nanoelectromechanical systems and, once this behavior was verified, new challenges were born.Because nanoelectromechanical devices are transducers, in this thesis I place it in a circuit mediating a capacitive coupling between two ressonant transmission lines with compatible dimensions.With a new proposal for a circuit scheme, initially I formulate the interaction Halmiltonian in the quantum regime, which will be used in two applications: being the first the generation of tripartite entangled states and the second, with a slight modification of this circuit, the creation of a method of nondemolition quantum detection of the number of phonons of the nanoelectromechanical system for thermal and Fock states.In the final stage of this thesis there is a supplementary part on the electromechanical interaction between a nanoelectromechanical system and a trapped ion.vi Resumo Uma das principais investigações dentro da área de óptica quântica é o estudo das propriedades estatísticas da radiação eletromagnética.Isso inclui qualquer meio onde exista um potencial vetor ou algo análogo para ser quantizado.Nas últimas três décadas muitos experimentos comprovaram o comportamento quântico em sistemas nanoeletromecânicos, e uma vez comprovado esse novo comportamento, nasceram novos desafios.O fato de que ressonadores nanoeletromecânicos funcionem como transdutores é utilizado nessa tese para mediar o acoplamento capacitivo entre duas linhas de transmissão ressonantes com dimensões compatíveis.Isso permitiu propor esquemas de detecção, partindo da formulação do Hamiltoniano de interação no regime quântico.A primeira aplicação trata da geração de estados emaranhados tripartite e a segunda, modificando um pouco este circuito, a criação de um método de detecção quântica não demolidora do número de fônons do sistema nanoeletromecânico para estados de Fock e térmico.Na sua etapa final consta uma parte complementar sobre interação entre um sistema nanoeletromecânico e um íon aprisionado.
Experiments over the past years have demonstrated that it is possible to bring nanomechanical resonators and superconducting qubits close to the quantum regime and to measure their properties with an accuracy close to the Heisenberg uncertainty limit. Therefore, it is just a question of time before we will routinely see true quantum effects in nanomechanical systems. One of the hallmarks of quantum mechanics is the existence of entangled states. We propose a realistic scenario making it possible to detect entanglement of a mechanical resonator and a qubit in a nanoelectromechanical setup. The detection scheme involves only standard current and noise measurements of an atomic point contact coupled to an oscillator and a qubit. This setup could allow for the first observation of entanglement between a continuous and a discrete quantum system in the solid state.
We generalize a proposal for detecting single-phonon transitions in a single nanoelectromechanical system (NEMS) to include the intrinsic anharmonicity of each mechanical oscillator. In this scheme two NEMS oscillators are coupled via a term quadratic in the amplitude of oscillation for each oscillator. One NEMS oscillator is driven and strongly damped and becomes a transducer for phonon number in the other measured oscillator. We derive the conditions for this measurement scheme to be quantum limited and find a condition on the size of the anharmonicity. We also derive the relation between the phase diffusion back-action noise due to number measurement and the localization time for the measured system to enter a phonon-number eigenstate. We relate both these time scales to the strength of the measured signal, which is an induced current proportional to the position of the read-out oscillator.