1. Localized Josephson Hot Spots Due To Two-Level Systems

2. Orbital Inverse Faraday and Cotton-Mouton Effects in Hall Fluids

3. Accelerated Characterization of Two-Level Systems in Superconducting Qubits Via Machine Learning

1. Quantum printing and induced vorticity in superconductors II: Laguerre-Gaussian beam

2. Quantum printing and induced vorticity in superconductors I: Linearly polarized light

3. Identification of Soft Modes in Al2O3 Amorphous via First-Principles

4. Scanning tunneling microscopy study of room-temperature functional behavior of intrinsic magnetic topological insulators

5.  Multipolar multiferroics in 4⁢𝑑2/5⁢𝑑2 Mott insulators 

6.  Large inverse Faraday effect for Rydberg states of free atoms and isolated donors in semiconductors

7.  Quantum Nonlinear Acoustic Hall Effect and Inverse Acoustic Faraday Effect in Dirac Insulators

8. Probing multi-mobility edges in quasiperiodic mosaic lattices

9.  Ultrafast Pseudomagnetic Fields from Electron-Nuclear Quantum Geometry

10.  Surface Local Impurity Scattering as a Probe for Topological Kondo Insulators

11.  Quantum sensing from gravity as a universal dephasing channel for qubits

1. Superdiffusion in random two dimensional system with ubiquitous long-range hopping

2. Refined cyclic renormalization group in Russian Doll model

3. Stable many-body localization under random continuous measurements in the no-click limit

4. Light-induced orbital magnetism in metals via inverse Faraday effect

5. Multipolar multiferroics in / Mott insulators

6. Structured light and induced vorticity in superconductors I: Linearly polarized light

7. Quantum Nonlinear Acoustic Hall Effect and Inverse Acoustic Faraday Effect in Dirac Insulators

8. P-wave Pairing Near a Spin-Split Josephson Junction

9. Quantum Sensing from Gravity as Universal Dephasing Channel for QubitsElectron–Phonon Coupling in Copper-Substituted Lead Phosphate Apatite

10. Screening the organic materials database for superconducting metal-organic frameworks

11. Induction of orbital currents and Kapitza stabilization in superconducting circuits with Laguerre-Gaussian microwave beams

12. Ergodicity-breaking phase diagram and fractal dimensions in long-range models with generically correlated disorder

13. Observation of reentrant metal-insulator transition in a random-dimer disordered SSH lattice

14. Robust extended states in Anderson model on partially disordered random regular graphs

15. Robust non-ergodicity of ground state in the β ensemble

16. Anatomy of the eigenstates distribution: a quest for a genuine multifractality

17. Two-tone spectroscopy for the detection of two-level systems in superconducting qubits

18. Kapitza stabilization of quantum critical order

19. Terahertz electric-field driven dynamical multiferroicity in SrTiO3

20. Ultrafast pseudomagnetic fields from electron-nuclear quantum geometry

1. Inducing quantum phase transitions in nontopological insulators via atomic control of substructural elements

2. Mobile Topological Su-Schrieffer-Heeger Soliton in a Josephson Metamaterial

3. Coexistence of extended and localized states in finite-sized mosaic Wannier-Stark lattices

4. Appearance of odd-frequency superconductivity in a relativistic scenario

5. Probing multi-mobility edges in quasiperiodic mosaic lattices

6. Magnetoelectrics and multiferroics: theory, synthesis, characterisation, preliminary results and perspectives for all-optical manipulations

7. Persistent homology of quantum entanglement

8. Comment on" Axion-matter coupling in multiferroics"

9. Absence of Mobility Edge in Short-range Uncorrelated Disordered Model: Coexistence of Localized and Extended States

10. Non-Hermiticity induces localization: good and bad resonances in power-law random banded matrices

11. Quasiperiodicity hinders ergodic Floquet eigenstates

12. Anatomy of the fragmented Hilbert space: eigenvalue tunneling, quantum scars and localization in the perturbed random regular graph

13. Tuning the phase diagram of a Rosenzweig-Porter model with fractal disorder

A.V. Balatsky, G. Aeppli, I.M. Khaymovich, P.J.W., “Material comprising atoms excitable in Rydberg states magnetized via inverse Faraday effect,” International Patent WO 2026/018088 (2026) 

A.V. Balatsky, P.J.W., “Precision Quantum Gravitometer,” Patent Pending USA – Patent Application No. 63/817400 (2025) 

I.K. Schuller, M. Di Ventra, A.V. Balatsky, “Noise Reduction Methods for Nucleic Acid and Macromolecule Sequencing,” USA – U.S. Patent No. 9,965,586 B2 (2018).