350 citations · 1.5k across the 108 of their papers we have counts for
49 papers · 1 filter
Hidden symmetries, spin and charge of artificial magnetic monopoles
Alexander I Nesterov, Gennady P Berman
We discuss the non-Abelian artificial magnetic monopoles associated with -level energy crossing in quantum systems. We found that hidden symmetries reveal themselves as observab…
Quantum Electron Transport in Degenerate Donor-Acceptor Systems
Marco Merkli, Gennady P. Berman, Avadh Saxena
We develop a mathematically rigorous theory for the quantum transfer processes in degenerate donor-acceptor dimers in contact with a thermal environment. We calculate explicitly th…
Non-Hermitian Quantum Annealing and Superradiance
Alexander I. Nesterov, Gennady P. Berman, Fermín Aceves de la Cruz +1
We consider the non-Hermitian quantum annealing for the one-dimentional Ising spin chain, and for a large number of qubits. We show that the annealing time is significanly reduced…
Superradiance Transition in Graphene
Alexander I. Nesterov, Fermín Aceves de la Cruz, Valeriy A. Luchnikov +1
We study theoretically and numerically the conditions required for the appearance of a superradiance transition in graphene. The electron properties of graphene are described in th…
Multiscale dynamics of open three-level quantum systems with two quasi-degenerate levels
Marco Merkli, Haifeng Song, Gennady Berman
We consider a three-level quantum system interacting with a bosonic thermal reservoir. Two energy levels of the system are nearly degenerate but well separated from the third one.…
Non-Hermitian Quantum Annealing in the Antiferromagnetic Ising Chain
Alexander I. Nesterov, Gennady P. Berman, Juan C. Beas Zepeda +1
A non-Hermitian quantum optimization algorithm is created and used to find the ground state of an antiferromagnetic Ising chain. We demonstrate analytically and numerically (for up…
Quantum Coherence and Entanglement in the Avian Compass
James A. Pauls, Yiteng Zhang, Gennady P. Berman +1
The radical pair mechanism is one of two distinct mechanisms used to explain the navigation of birds in geomagnetic fields. However, little research has been done to explore the ro…
Non-Hermitian Quantum Annealing in the Ferromagnetic Ising Model
Alexander I. Nesterov, Juan Carlos Beas Zepeda, Gennady P. Berman
We developed a non-Hermitian quantum optimization algorithm to find the ground state of the ferromagnetic Ising model with up to 1024 spins (qubits). Our approach leads to signific…
Quantum search using non-Hermitian adiabatic evolution
Alexander I. Nesterov, Gennady P. Berman
We propose a non-Hermitian quantum annealing algorithm which can be useful for solving complex optimization problems. We demonstrate our approach on Grover's problem of finding a m…
Modeling of Low and High Frequency Noise by Slow and Fast Fluctuators
Alexander I. Nesterov, Gennady P. Berman
We study the dynamics of dephasing in a quantum two-level system by modeling both 1/f and high-frequency noise by random telegraph processes. Our approach is based on a so-called s…
The Renormalization Effects in the Microstrip-SQUID Amplifier
G. P. Berman, A. A. Chumak, V. I. Tsifrinovich
The peculiarities of the microstrip-DC SQUID amplifier caused by the resonant structure of the input circuit are analyzed. It is shown that the mutual inductance, that couples the…
Transitional dynamics of a phase qubit-resonator system: requirements for fast readout of a phase qubit
G. P. Berman, A. A. Chumak, V. I. Tsifrinovich
We examine the non-stationary evolution of a coupled qubit-transmission line-resonator system coupled to an external drive and the resonator environment. By solving the equation fo…
Influence of External Fields and Environment on the Dynamics of Phase Qubit-Resonator System
Gennady P. Berman, Alexander A. Chumak
We analyze the dynamics of a qubit-resonator system coupled with a thermal bath and external electromagnetic fields. Using the evolution equations for the set of Heisenberg operato…
Non-Hermitian description of a superconducting phase qubit measurement
Alexander I. Nesterov, Gennady P. Berman, Alan R. Bishop
We present an approach based on a non-Hermitian Hamiltonian to describe the process of measurement by tunneling of a phase qubit state. We derive simple analytical expressions whic…
Evolution of Entanglement of Two Qubits Interacting through Local and Collective Environments
M. Merkli, G. P. Berman, F. Borgonovi +1
We analyze rigorously the dynamics of the entanglement between two qubits which interact only through collective and local environments. Our approach is based on the resonance pert…
Measurement of the Josephson Junction Phase Qubits by a Microstrip Resonator
Gennady P. Berman, Alan R. Bishop, Aleksandr A. Chumak +2
The process of measurement of a phase qubit by a resonant microwave cavity is considered for various interactions between the qubit and the cavity. A novel quasiclassical approach…
Non-Hermitian Adiabatic Quantum Optimization
Gennady P. Berman, Alexander I. Nesterov
We propose a novel non-Hermitian adiabatic quantum optimization algorithm. One of the new ideas is to use a non-Hermitian auxiliary "initial'' Hamiltonian that provides an effectiv…
The Effect of Partial Coherence on the Statistics of Single-Photon Pulses Propagating in the Atmosphere
G. P. Berman, A. A. Chumak
The photon density operator function is used to describe the propagation of single-photon pulses through a turbulent atmosphere. The effects of statistical properties of photon sou…
Resonance Theory of Decoherence and Thermalization
M. Merkli, I. M. Sigal, G. P. Berman
We present a rigorous analysis of the phenomenon of decoherence for general level systems coupled to reservoirs. The latter are described by free massless bosonic fields. We ap…
Quantum Annealing for Heisenberg Spin Chains
G. P. Berman, V. N. Gorshkov, V. I. Tsifrinovich
We suggest using the method of quantum annealing for computing the ground state of the Heisenberg spin chains. Our initial Hamiltonian describes a spin system in a highly non-unifo…
Quantum Dynamical Effects as a Singular Perturbation for Observables in Open Quasi-Classical Nonlinear Mesoscopic Systems
Gennady P. Berman, Fausto Borgonovi, Diego A. R. Dalvit
We review our results on a mathematical dynamical theory for observables for open many-body quantum nonlinear bosonic systems for a very general class of Hamiltonians. We show that…
Implementation of quantum logic operations and creation of entanglement in a silicon-based quantum computer with constant interaction
G. P. Berman, G. W. Brown, M. E. Hawley +2
We describe how to implement quantum logic operations in a silicon-based quantum computer with phosphorus atoms serving as qubits. The information is stored in the states of nuclea…
Characteristic parameters and dynamics of two-qubit system in self-assembled monolayers
Zilvinas Rinkevicius, Gennady P. Berman, David. L. Allara +2
We suggest the application of nitronylnitroxide substituted with methyl group and 2,2,6,6-tetramethylpiperidin organic radicals as 1/2-spin qubits for self-assembled monolayer quan…
Modeling and Simulations of a Single-Spin Measurement using MRFM
G. P. Berman, F. Borgonovi, V. N. Gorshkov +1
We review the quantum theory of a single spin magnetic resonance force microscopy (MRFM). We concentrate on the novel technique called oscillating cantilever-driven adiabatic rever…