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A non-${\cal{PT}}$-symmetric Hamiltonian system of a Duffing oscillator coupled to an anti-damped oscillator with a variable angular frequency is shown to admit periodic solutions. The result implies that ${\cal{PT}}$-symmetry of a…

Chaotic Dynamics · Physics 2020-11-11 Pijush K. Ghosh , Puspendu Roy

We study the decoherence of a central spin 1/2 induced by a spin bath with intrabath interactions. Since we are interested in the cumulative effect of interaction and disorder, we study baths comprising Ising spins with random ferro- and…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 S. Camalet , R. Chitra

We study the decoherence of two coupled spins that interact with a spin-bath environment. It is shown that the connectivity and the coupling strength between the spins in the environment are of crucial importance for the decoherence of the…

Quantum Physics · Physics 2008-10-22 Shengjun Yuan , Mikhail I. Katsnelson , Hans De Raedt

We present a new approach to calculate real-time quantum dynamics in complex systems. The formalism is based on the partitioning of a system's environment into "core" and "reservoir" modes, with the former to be treated quantum mechanically…

Statistical Mechanics · Physics 2015-05-30 Timothy C. Berkelbach , David R. Reichman , Thomas E. Markland

Quantum mechanics describes the unitary time evolution of closed systems. In practice, every quantum system interacts with the environment leading to an irreversible loss of coherence. The Spin-Boson model (SBM) is central to the…

Chemical Physics · Physics 2020-09-28 Nirmalendu Acharyya , Martin Richter , Benjamin P. Fingerhut

The physics of a two-level system coupled to Ohmic bath is studied by means of the perturbation approach based on a unitary transformation. Our main results are: The coherence-incoherence transition is at $\alpha_c={1\over…

Strongly Correlated Electrons · Physics 2007-05-23 H. Zheng

We examine the influence of environmental interactions on simple quantum systems by obtaining the exact reduced dynamics of a qubit coupled to a one-dimensional spin bath. In contrast to previous studies, both the qubit-bath coupling and…

Quantum Physics · Physics 2014-06-17 Ning Wu , Arun Nanduri , Herschel Rabitz

We systematically investigate the universal spin decoherence dynamics of a localized electron in an arbitrary nuclear spin bath, which can be even far away from equilibrium due to the weak nuclear-lattice interaction. We show that the…

Mesoscale and Nanoscale Physics · Physics 2008-06-27 Yi-Ya Tian , Pochung Chen , Daw-Wei Wang

In interacting quantum many-body systems, relaxation toward equilibrium reflects a competition between internal chaotic dynamics and environmental dissipation. While conventional Markovian baths typically produce exponential decay,…

Statistical Mechanics · Physics 2026-03-12 Gabriel Almeida , Pedro Ribeiro , Masudul Haque , Lucas Sá

The dynamics and decoherence of an electronic spin-1/2 qubit coupled to a bath of nuclear spins via hyperfine interactions in a quantum dot is studied. We show how exact results from the integrable solution can be used to understand the…

Strongly Correlated Electrons · Physics 2010-10-22 Michael Bortz , Sebastian Eggert , Christian Schneider , Robert Stubner , Joachim Stolze

In this paper we firstly obtain two kinds of effective spectral density functions by setting the cut-off frequencies of baths be infinite and finite. Secondly, we investigate the reduced dynamics of open qubits in four kinds of systems…

Quantum Physics · Physics 2010-01-13 Xian-Ting Liang

Dephasing in quantum systems is typically the result of its interaction with environmental degrees of freedom. We investigate within a spin-boson model the influence of a super-Ohmic environment on the dynamics of a quantum two-state…

Quantum Physics · Physics 2023-07-12 Philipp Nacke , Florian Otterpohl , Michael Thorwart , Peter Nalbach

Vibronic coupling has a dramatic influence over a large number of molecular processes, ranging from photo-chemistry, to spin relaxation and electronic transport. The simulation of vibronic coupling with multi-reference wavefunction methods…

Chemical Physics · Physics 2023-10-17 Lorenzo A. Mariano , Sourav Mondal , Alessandro Lunghi

Finding efficient descriptions of how an environment affects a collection of discrete quantum systems would lead to new insights into many areas of modern physics. Markovian, or time-local, methods work well for individual systems, but for…

Quantum Physics · Physics 2016-07-22 P. R. Eastham , P. Kirton , H. M. Cammack , B. W. Lovett , J. Keeling

The problem of how single "central" spins interact with a nuclear spin bath is essential for understanding decoherence and relaxation in many quantum systems, yet is highly nontrivial owing to the many-body couplings involved. Different…

Mesoscale and Nanoscale Physics · Physics 2012-06-21 Yan Li , N. Sinitsyn , D. L. Smith , D. Reuter , A. D. Wieck , D. R. Yakovlev , M. Bayer , S. A. Crooker

The dynamics of two 1/2-spin qubits under the influence of a quantum Heisenberg XY type spin-bath is studied. After the Holstein-Primakoff transformation, a novel numerical polynomial scheme is used to give the time-evolution calculation of…

Statistical Mechanics · Physics 2009-11-11 Jun Jing , Zhi-Guo Lü

We propose an approximation scheme to describe the dynamics of the spin-boson model when the spectral density of the environment shows a peak at a characteristic frequency $\Omega$ which can be very close (or even equal) to the spin Zeeman…

Quantum Physics · Physics 2008-12-11 Frederico Brito , Amir O. Caldeira

A damped oscillator heat bath model is a modification of the standard heat bath model, wherein each bath oscillator itself has a Markovian coupling to its own heat bath [1]. We modify such a model to one where the resulting damping of the…

Statistical Mechanics · Physics 2026-04-20 Thomas Guff , Andrea Rocco

The dynamics of a simple spin chain (2 spins) coupled to bosonic baths at different temperatures is studied. The analytical solution for the reduced density matrix of the system is found. The dynamics and temperature dependence of spin-spin…

Quantum Physics · Physics 2009-05-05 Ilya Sinaysky , Francesco Petruccione , Daniel Burgarth

We have studied the properties of a classical $N_S$-body system coupled to a bath containing $N_B$-body harmonic oscillators, employing an $(N_S+N_B)$ model which is different from most of the existing models with $N_S=1$. We have performed…

Statistical Mechanics · Physics 2015-05-20 Hideo Hasegawa