Quantum Entanglement Between Charge Qubit and Mechanical Cat-States in Nanoelectromechanical System
We present a detailed mathematical description, both an analytical model and a numerical simulation, of a physical system based on a superconducting nanoelectromechanical setup that generates nanomechanical cat-states entangled with charge qubit states. The system consists of a superconducting grain...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-06-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/13/13/2054 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850118864856154112 |
|---|---|
| author | Matija Tečer Danko Radić |
| author_facet | Matija Tečer Danko Radić |
| author_sort | Matija Tečer |
| collection | DOAJ |
| description | We present a detailed mathematical description, both an analytical model and a numerical simulation, of a physical system based on a superconducting nanoelectromechanical setup that generates nanomechanical cat-states entangled with charge qubit states. The system consists of a superconducting grain in a regime of the Cooper pair box (the charge qubit) that performs mechanical vibrations between two bulk superconductors. Operation of the device is based on the AC Josephson effect, i.e., the phase difference between superconducting electrodes is controlled by a DC bias voltage following the operational switch on/off protocol. We compare an analytical idealised solution with numerical simulation using experimentally feasible parameters, different decoherence processes, as well as imperfections of experimental procedures such as time-control of the bias voltage, to get insight into how they influence the time-evolution of the realistic system, deteriorate the quantum coherence, and affect the formation of the cat-states. |
| format | Article |
| id | doaj-art-ca8b72e7f0544fb080951fff8fc0f3f7 |
| institution | OA Journals |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-ca8b72e7f0544fb080951fff8fc0f3f72025-08-20T02:35:46ZengMDPI AGMathematics2227-73902025-06-011313205410.3390/math13132054Quantum Entanglement Between Charge Qubit and Mechanical Cat-States in Nanoelectromechanical SystemMatija Tečer0Danko Radić1Department of Physics, University of Zagreb Faculty of Science, Bijenička 32, 10000 Zagreb, CroatiaDepartment of Physics, University of Zagreb Faculty of Science, Bijenička 32, 10000 Zagreb, CroatiaWe present a detailed mathematical description, both an analytical model and a numerical simulation, of a physical system based on a superconducting nanoelectromechanical setup that generates nanomechanical cat-states entangled with charge qubit states. The system consists of a superconducting grain in a regime of the Cooper pair box (the charge qubit) that performs mechanical vibrations between two bulk superconductors. Operation of the device is based on the AC Josephson effect, i.e., the phase difference between superconducting electrodes is controlled by a DC bias voltage following the operational switch on/off protocol. We compare an analytical idealised solution with numerical simulation using experimentally feasible parameters, different decoherence processes, as well as imperfections of experimental procedures such as time-control of the bias voltage, to get insight into how they influence the time-evolution of the realistic system, deteriorate the quantum coherence, and affect the formation of the cat-states.https://www.mdpi.com/2227-7390/13/13/2054nanoelectromechanical systemsAC Josephson effectcat-statesquantum entanglement |
| spellingShingle | Matija Tečer Danko Radić Quantum Entanglement Between Charge Qubit and Mechanical Cat-States in Nanoelectromechanical System Mathematics nanoelectromechanical systems AC Josephson effect cat-states quantum entanglement |
| title | Quantum Entanglement Between Charge Qubit and Mechanical Cat-States in Nanoelectromechanical System |
| title_full | Quantum Entanglement Between Charge Qubit and Mechanical Cat-States in Nanoelectromechanical System |
| title_fullStr | Quantum Entanglement Between Charge Qubit and Mechanical Cat-States in Nanoelectromechanical System |
| title_full_unstemmed | Quantum Entanglement Between Charge Qubit and Mechanical Cat-States in Nanoelectromechanical System |
| title_short | Quantum Entanglement Between Charge Qubit and Mechanical Cat-States in Nanoelectromechanical System |
| title_sort | quantum entanglement between charge qubit and mechanical cat states in nanoelectromechanical system |
| topic | nanoelectromechanical systems AC Josephson effect cat-states quantum entanglement |
| url | https://www.mdpi.com/2227-7390/13/13/2054 |
| work_keys_str_mv | AT matijatecer quantumentanglementbetweenchargequbitandmechanicalcatstatesinnanoelectromechanicalsystem AT dankoradic quantumentanglementbetweenchargequbitandmechanicalcatstatesinnanoelectromechanicalsystem |