# Parameter optimization for transitions between memory states in small arrays of Josephson junctions

## Abstract

Coupled arrays of Josephson junctions possess multiple stable zero voltage states. Such states can store information and consequently can be utilized for cryogenic memory applications. Basic memory operations can be implemented by sending a pulse to one of the junctions and studying transitions between the states. In order to be suitable for memory operations, such transitions between the states have to be fast and energy efficient. Here in this article we employed simulated annealing, a stochastic optimization algorithm, to study parameter optimization of array parameters which minimizes times and energies of transitions between specifically chosen states that can be utilized for memory operations (Read, Write, and Reset). Simulation results show that such transitions occur with access times on the order of 10–100 ps and access energies on the order of 10 ^{-19}–5×10 ^{-18} J. Numerical simulations are validated with approximate analytical results.

- Authors:

- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computer Science and Mathematics Division; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computing and Computational Sciences Directorate; Univ. of Delaware, Newark, DE (United States). Dept. of Mathematical Sciences
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computing and Computational Sciences Directorate
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computer Science and Mathematics Division; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computing and Computational Sciences Directorate; ; Univ. of Tennessee, Knoxville, TN (United States). Dept. of Mechanical, Aerospace, and Biomedical Engineering

- Publication Date:

- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1407744

- DOE Contract Number:
- AC05-00OR22725

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physica. A; Journal Volume: 474; Journal Issue: C

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICS AND COMPUTING; Josephson junction; Memory cell; Parameter optimization; Nonlinear dynamical systems

### Citation Formats

```
Rezac, Jacob D., Imam, Neena, and Braiman, Yehuda.
```*Parameter optimization for transitions between memory states in small arrays of Josephson junctions*. United States: N. p., 2017.
Web. doi:10.1016/j.physa.2017.01.044.

```
Rezac, Jacob D., Imam, Neena, & Braiman, Yehuda.
```*Parameter optimization for transitions between memory states in small arrays of Josephson junctions*. United States. doi:10.1016/j.physa.2017.01.044.

```
Rezac, Jacob D., Imam, Neena, and Braiman, Yehuda. Wed .
"Parameter optimization for transitions between memory states in small arrays of Josephson junctions". United States.
doi:10.1016/j.physa.2017.01.044.
```

```
@article{osti_1407744,
```

title = {Parameter optimization for transitions between memory states in small arrays of Josephson junctions},

author = {Rezac, Jacob D. and Imam, Neena and Braiman, Yehuda},

abstractNote = {Coupled arrays of Josephson junctions possess multiple stable zero voltage states. Such states can store information and consequently can be utilized for cryogenic memory applications. Basic memory operations can be implemented by sending a pulse to one of the junctions and studying transitions between the states. In order to be suitable for memory operations, such transitions between the states have to be fast and energy efficient. Here in this article we employed simulated annealing, a stochastic optimization algorithm, to study parameter optimization of array parameters which minimizes times and energies of transitions between specifically chosen states that can be utilized for memory operations (Read, Write, and Reset). Simulation results show that such transitions occur with access times on the order of 10–100 ps and access energies on the order of 10-19–5×10-18 J. Numerical simulations are validated with approximate analytical results.},

doi = {10.1016/j.physa.2017.01.044},

journal = {Physica. A},

number = C,

volume = 474,

place = {United States},

year = {Wed Jan 11 00:00:00 EST 2017},

month = {Wed Jan 11 00:00:00 EST 2017}

}