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We propose dynamical control schemes for Hamiltonian simulation in many-body quantum systems that avoid instantaneous control operations and rely solely on realistic bounded-strength control Hamiltonians. Each simulation protocol consists…

Quantum Physics · Physics 2014-06-25 Adam D. Bookatz , Pawel Wocjan , Lorenza Viola

Classical polarizable approaches have become the gold standard for simulating complex systems and processes in the condensed phase. These methods describe intrinsically dissipative polarizable media, requiring a formal definition within the…

We present perturbative error bounds for the non-Markovian dynamics of observables in open quantum systems interacting with Gaussian environments, governed by a general Liouville dynamics. This extends the work of [Mascherpa et al., Phys.…

Quantum Physics · Physics 2025-12-16 Zhen Huang , Yuanran Zhu , Gunhee Park , Lin Lin

We present a formalism for simulating quantum dynamics of lattice spin-one systems by first introducing local hidden variables and then doing semiclassical (truncated Wigner) approximation in the extended phase space. In this way we exactly…

Quantum Physics · Physics 2016-06-28 Shainen M. Davidson , Anatoli Polkovnikov

We present the non-Markovian generalization of the widely used stochastic Schrodinger equation. Our result allows to describe open quantum systems in terms of stochastic state vectors rather than density operators, without approximation.…

Quantum Physics · Physics 2009-10-30 Lajos Diosi , Walter T. Strunz

We study Bosonic representation of spin Ising model with the application of simulating two level systems using continuous variable quantum processors. We decompose the time evolution of spin systems into a sequence of continuous variable…

Quantum Physics · Physics 2020-09-29 Razieh Annabestani , Brajesh Gupt , Bhaskar Roy Bardhan

We study the quantum dynamics of a single mode/particle interacting inhomogeneously with a large number of particles and introduce an effective approach to find the accessible Hilbert space where the dynamics takes place. Two relevant…

Quantum Physics · Physics 2015-06-26 C. E. Lopez , H. Christ , J. C. Retamal , E. Solano

We provide a general method for efficiently simulating time-dependent Hamiltonian dynamics on a circuit-model based quantum computer. Our approach is based on approximating the truncated Dyson series of the evolution operator, extending the…

Quantum Physics · Physics 2019-04-10 Maria Kieferova , Artur Scherer , Dominic Berry

A novel scheme to simulate the evolution of a restricted set of observables of a quantum system is proposed. The set comprises the spectrum-generating algebra of the Hamiltonian. The idea is to consider a certain open-system evolution,…

Quantum Physics · Physics 2009-11-13 M. Khasin , R. Kosloff

Certain aspects of some unitary quantum systems are well-described by evolution via a non-Hermitian effective Hamiltonian, as in the Wigner-Weisskopf theory for spontaneous decay. Conversely, any non-Hermitian Hamiltonian evolution can be…

High Energy Physics - Lattice · Physics 2021-12-01 Jay Hubisz , Bharath Sambasivam , Judah Unmuth-Yockey

Open quantum systems host a wide range of intriguing phenomena, yet their simulation on well-controlled quantum devices is challenging, owing to the exponential growth of the Hilbert space and the inherently non-unitary nature of the…

In various fields from quantum physics to biology, the open quantum dynamics of a system consisting of interacting subsystems emphasizes its fundamental functionality. The local approach, deriving a dissipator in a master equation by…

Quantum Physics · Physics 2023-09-15 Chikako Uchiyama

We propose a new variational scheme based on the neural-network quantum states to simulate the stationary states of open quantum many-body systems. Using the high expressive power of the variational ansatz described by the restricted…

Disordered Systems and Neural Networks · Physics 2019-07-03 Nobuyuki Yoshioka , Ryusuke Hamazaki

We aim to explore a more efficient way to simulate few-body dynamics on quantum computers. Instead of mapping the second quantization of the system Hamiltonian to qubit Pauli gates representation via the Jordan-Wigner transform, we propose…

Quantum Physics · Physics 2025-09-09 Peng Guo , Jaime Park , Frank X. Lee

This text is a short introduction to the physics of driven-dissipative many-body systems, focusing on a few selected topics. Beyond its more ``historical'' interest in the study of atomic physics and quantum optics, presently the modeling…

Quantum Physics · Physics 2026-04-02 Fabrizio Minganti , Alberto Biella

A precise understanding of the influence of a quantum system's environment on its dynamics, which is at the heart of the theory of open quantum systems, is crucial for further progress in the development of controllable large-scale quantum…

Quantum Physics · Physics 2022-10-10 I. A. Luchnikov , E. O. Kiktenko , M. A. Gavreev , H. Ouerdane , S. N. Filippov , A. K. Fedorov

Using the system-bath model Hamiltonian this thesis covers the equilibrium and out of equilibrium properties of quantum open systems. Topics included are the calculation of thermodynamical quantities of open systems, derivation of quantum…

Statistical Mechanics · Physics 2009-08-27 David Zueco

An open quantum system refers to a system, which is in turn coupled to an environment that can describe time irreversible dynamics through which the system evolves toward the thermal equilibrium state. We present a quantum mechanically…

Statistical Mechanics · Physics 2020-06-02 Hideaki Takahashi , Yoshitaka Tanimura

In the large-$N$, classical limit, the Bose-Hubbard dimer undergoes a transition to chaos when its tunnelling rate is modulated in time. We use exact and approximate numerical simulations to determine the features of the dynamically…

Quantum Physics · Physics 2019-07-31 R. A. Kidd , M. K. Olsen , J. F. Corney

Multi-component quantum systems in strong interaction with their environment are receiving increasing attention due to their importance in a variety of contexts, ranging from solid state quantum information processing to the quantum…

Quantum Physics · Physics 2015-03-13 Javier Prior , Alex. W. Chin , Susana. F. Huelga , Martin . B. Plenio
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