The conventional atomic model did not contain nuclear electrons because of the uncertainty principle. It made us not explain life energies. The improved principle does not take out the nuclear electrons. Under the minimum energy level of the conventional model, it did not consider the electrons motion. The electron is absorbed to the proton and then it is rebounded at the mass wall of the proton. Finally it repeats a round trip, which is called as Kronig-Penny quantum mechanical. Model most of atom bondings and molecular are composed of this round trip.The conventional atomic model did not contain nuclear electrons because of the uncertainty principle. It made us not explain life energies. The improved principle does not take out the nuclear electrons. Under the minimum energy level of the conventional model, it did not consider the electrons motion. The electron is absorbed to the proton and then it is rebounded at the mass wall of the proton. Finally it repeats a round trip, which is called as Kronig-Penny quantum mechanical. Model most of atom bondings and molecular are composed of this round trip.

Jun 1, 20140 citations

From Round-Trip State Echo to Error Recovery: Snapshot-Resolved Quantum-Hardware Diagnostics

Isaac Barouch Essayag, Aryeh Lev Zabokritskiy

Quantum-hardware scores vary across workloads and execution times. We study these variations through repeated communication and deletion-recovery experiments on superconducting and trapped-ion hardware. Our opening test is round-trip state echo (RTSE): prepare one of four tetrahedral qubit states, move it along a route and back by swaps, undo the preparation at the root, and measure the return probability. Repeating identical native communication programs on IQM Emerald changed the differences between tasks on the same routes, while the aggregate RTSE estimates differed by only $0.00125$ . A separate two-window experiment found a drop in root return probability from route length 2 to 10 for both RTSE and its remote-inverse do-nothing predecessor; the prespecified directional test did not support better retention by RTSE. Across 64 fixed combinations of placement, input state, and deleted position, the IQM recovery mean fell from $0.738$ to $0.624$ . On IonQ's five submitted virtual wires, with advertised all-to-all connectivity, recovery means of $0.911$ and $0.923$ exceeded the prespecified two-thirds reference in both windows. The corresponding differences from a control using the decoder's adjoint were $0.446$ and $0.443$ . These measurements characterize complete compiled workloads at dated executions. Recovery is tested after subsystem discard in the circuit model, and each hardware interface is analyzed separately.Quantum-hardware scores vary across workloads and execution times. We study these variations through repeated communication and deletion-recovery experiments on superconducting and trapped-ion hardware. Our opening test is round-trip state echo (RTSE): prepare one of four tetrahedral qubit states, move it along a route and back by swaps, undo the preparation at the root, and measure the return probability. Repeating identical native communication programs on IQM Emerald changed the differences between tasks on the same routes, while the aggregate RTSE estimates differed by only $0.00125$. A separate two-window experiment found a drop in root return probability from route length 2 to 10 for both RTSE and its remote-inverse do-nothing predecessor; the prespecified directional test did not support better retention by RTSE. Across 64 fixed combinations of placement, input state, and deleted position, the IQM recovery mean fell from $0.738$ to $0.624$. On IonQ's five submitted virtual wires, with advertised all-to-all connectivity, recovery means of $0.911$ and $0.923$ exceeded the prespecified two-thirds reference in both windows. The corresponding differences from a control using the decoder's adjoint were $0.446$ and $0.443$. These measurements characterize complete compiled workloads at dated executions. Recovery is tested after subsystem discard in the circuit model, and each hardware interface is analyzed separately.

quant-pharXiv:2608.26010Aug 27, 20260 citations

Quantum Dimer Model: Phase Diagrams

Garry Goldstein, Claudio Chamon, Claudio Castelnovo

Bulletin of the American Physical SocietyMar 14, 20160 citations

Constructing soluble quantum spin models

H. Y. Shik, Y.Q. Li, H. Q. Lin

Nuclear Physics BJun 30, 20031 citation

Prospects for transferring 87Rb84Sr dimers to the rovibrational ground state based on calculated molecular structures

Tao Chen, Shaobing Zhu, Xiaolin Li +2 more

Using fitted model potential curves of the ground and lowest three excited states yielded by the relativistic Kramers-restricted multireference configuration interaction method with 19 electrons correlated, we theoretically investigate the rovibrational properties including the number of vibrational state and diagonally distributed Franck-Condon factors for a ${}^{87}\text{Rb}{}^{84}\text{Sr}$ molecule. Benefiting from a turning point at about ${v}^{\ensuremath{'}}=20$ for the Franck-Condon factors between the ground state and spin-orbit $2(\ensuremath{\Omega}=1/2)$ excited state, we choose $|2(\ensuremath{\Omega}=1/2),{v}^{\ensuremath{'}}=21,{J}^{\ensuremath{'}}=1\ensuremath{\rangle}$ as the intermediate state in the three-level model to theoretically analyze the possibility of performing stimulated Raman adiabatic passage to transfer weakly bound RbSr molecules to the rovibrational ground state. With 1550 nm pump laser (2 W/ ${\text{cm}}^{2}$ ) and 1342 nm dump laser (10 mW/ ${\text{cm}}^{2}$ ) employed and appropriate settings of pulse time length (about 300 $\ensuremath{\mu}$s), we have formalistically achieved a round-trip transfer efficiency of 60%, namely 77% for one-way transfer. The results demonstrate the possibility of producing polar ${}^{87}\text{Rb}{}^{84}\text{Sr}$ molecules efficiently in a submicrokelvin regime, and further provide promising directions for future theoretical and experimental studies on alkali-alkaline(rare)-earth dimers.Using fitted model potential curves of the ground and lowest three excited states yielded by the relativistic Kramers-restricted multireference configuration interaction method with 19 electrons correlated, we theoretically investigate the rovibrational properties including the number of vibrational state and diagonally distributed Franck-Condon factors for a ${}^{87}\text{Rb}{}^{84}\text{Sr}$ molecule. Benefiting from a turning point at about ${v}^{\ensuremath{'}}=20$ for the Franck-Condon factors between the ground state and spin-orbit $2(\ensuremath{\Omega}=1/2)$ excited state, we choose $|2(\ensuremath{\Omega}=1/2),{v}^{\ensuremath{'}}=21,{J}^{\ensuremath{'}}=1\ensuremath{\rangle}$ as the intermediate state in the three-level model to theoretically analyze the possibility of performing stimulated Raman adiabatic passage to transfer weakly bound RbSr molecules to the rovibrational ground state. With 1550 nm pump laser (2 W/${\text{cm}}^{2}$) and 1342 nm dump laser (10 mW/${\text{cm}}^{2}$) employed and appropriate settings of pulse time length (about 300 $\ensuremath{\mu}$s), we have formalistically achieved a round-trip transfer efficiency of 60%, namely 77% for one-way transfer. The results demonstrate the possibility of producing polar ${}^{87}\text{Rb}{}^{84}\text{Sr}$ molecules efficiently in a submicrokelvin regime, and further provide promising directions for future theoretical and experimental studies on alkali-alkaline(rare)-earth dimers.

Physical Review AJun 4, 201423 citations

0.00125

. A separate two-window experiment found a drop in root return probability from route length 2 to 10 for both RTSE and its remote-inverse do-nothing predecessor; the prespecified directional test did not support better retention by RTSE. Across 64 fixed combinations of placement, input state, and deleted position, the IQM recovery mean fell from

0.738

0.624

. On IonQ's five submitted virtual wires, with advertised all-to-all connectivity, recovery means of

0.911

and

0.923

exceeded the prespecified two-thirds reference in both windows. The corresponding differences from a control using the decoder's adjoint were

0.446

and

0.443

. These measurements characterize complete compiled workloads at dated executions. Recovery is tested after subsystem discard in the circuit model, and each hardware interface is analyzed separately.

{}^{87}\text{Rb}{}^{84}\text{Sr}

molecule. Benefiting from a turning point at about ${v}^{\ensuremath{'}}=20$ for the Franck-Condon factors between the ground state and spin-orbit $2(\ensuremath{\Omega}=1/2)$ excited state, we choose $|2(\ensuremath{\Omega}=1/2),{v}^{\ensuremath{'}}=21,{J}^{\ensuremath{'}}=1\ensuremath{\rangle}$ as the intermediate state in the three-level model to theoretically analyze the possibility of performing stimulated Raman adiabatic passage to transfer weakly bound RbSr molecules to the rovibrational ground state. With 1550 nm pump laser (2 W/

{\text{cm}}^{2}

) and 1342 nm dump laser (10 mW/

{\text{cm}}^{2}

) employed and appropriate settings of pulse time length (about 300 $\ensuremath{\mu}$s), we have formalistically achieved a round-trip transfer efficiency of 60%, namely 77% for one-way transfer. The results demonstrate the possibility of producing polar

{}^{87}\text{Rb}{}^{84}\text{Sr}

molecules efficiently in a submicrokelvin regime, and further provide promising directions for future theoretical and experimental studies on alkali-alkaline(rare)-earth dimers.