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The design of small scale non-equilibrium steady states (NESS) is a challenging, open ended question. While similar equilibrium problems are tractable using standard thermodynamics, a generalized description for non-equilibrium systems is…

Statistical Mechanics · Physics 2021-02-10 William D. Piñeros , Tsvi Tlusty

We investigate the possibility of using a dissipative process to prepare a quantum system in a desired state. We derive for any multipartite pure state a dissipative process for which this state is the unique stationary state and solve the…

Quantum Physics · Physics 2012-09-12 B. Kraus , H. P. Büchler , S. Diehl , A. Kantian , A. Micheli , P. Zoller

In the paper our aim was to study the properties of a new version of coherent states whose argument is a linear combination of two special singular square 2 x 2 matrix, having a single nonzero element, equal to 1, and two labeling complex…

Quantum Physics · Physics 2026-02-02 Dušan Popov

We consider generic interacting chain of qubits, which are coupled at the edges to baths of fixed polarizations. We can determine the nonequilibrium steady states, described by the fixed point of the Lindblad Master Equation. Under rather…

Quantum Physics · Physics 2015-06-12 Vladislav Popkov , Roberto Livi

We obtain the exact many-body density operator of a boundary-driven XXZ quantum circuit via a spatially inhomogeneous matrix product Ansatz. The Ansatz has formally infinite bond-dimension and generalizes authors' previous construction…

Quantum Physics · Physics 2026-05-19 Xin Zhang , Tomaz Prosen , Vladislav Popkov

The effects of a local magnetic field on nonequilibrium stationary states (NESS) of the open quantum $XXZ$ spin chain are investigated with a Lindblad master equation approach in the limit of strong dissipation. The local magnetic field is…

Statistical Mechanics · Physics 2019-12-04 Vladislav Popkov , Mario Salerno

This Article investigates dissipative preparation of entangled non-equilibrium steady states (NESS). We construct a collision model where the open system consists of two qubits which are coupled to heat reservoirs with different…

Quantum Physics · Physics 2021-12-08 Daniel Heineken , Konstantin Beyer , Kimmo Luoma , Walter T. Strunz

We find that the density operator of non-equilibrium steady state (NESS) of XXZ spin chain with strong ``sink and source" boundary dissipation, can be described in terms of quasiparticles, with renormalized -- dissipatively dressed --…

Statistical Mechanics · Physics 2025-12-08 Vladislav Popkov , Xin Zhang , Carlo Presilla , Tomaz Prosen

Non-equilibrium steady states are a focal point of research in the study of open quantum systems. Previous variational algorithms for searching these steady states have suffered from resource-intensive implementations due to vectorization…

Quantum Physics · Physics 2023-09-14 Hongyi Zhou , Rui Mao , Xiaoming Sun

One main goal of quantum control is to steer a quantum system toward an expected state or dynamics. For measurement-induced quantum control, measurements serve as the only control, which is like the cases in quantum Zeno and anti-zeno…

Quantum Physics · Physics 2015-09-21 Yaoxiong Wang , Fang Gao , Xubing Tang , Feng Shuang

Consider a small sample coupled to a finite number of leads, and assume that the total (continuous) system is at thermal equilibrium in the remote past. We construct a non-equilibrium steady state (NESS) by adiabatically turning on an…

Mathematical Physics · Physics 2013-04-10 Horia D. Cornean , Pierre Duclos , Radu Purice

We investigate the computational power of creating steady-states of quantum dissipative systems whose evolution is governed by time-independent and local couplings to a memoryless environment. We show that such a model allows for efficient…

Quantum Physics · Physics 2009-09-24 Frank Verstraete , Michael M. Wolf , J. Ignacio Cirac

Nature, in the form of dissipation, inevitably intervenes in our efforts to control a quantum system. In this talk we show that although we cannot, in general, compensate for dissipation by coherent control of the system, such effects are…

Quantum Physics · Physics 2007-05-23 Allan I Solomon , Sonia G Schirmer

This paper presents a framework for solving the pure-state preparation problem using numerical optimal control. As an example, we consider the case where a number of qubits are dispersively coupled to a readout cavity. We model open system…

Quantum Physics · Physics 2024-06-19 Stefanie Günther , N. Anders Petersson , Jonathan L. DuBois

The state of a quantum system may be steered towards a predesignated target state, employing a sequence of weak $\textit{blind}$ measurements (where the detector's readouts are traced out). Here we analyze the steering of a two-level system…

Quantum Physics · Physics 2022-01-19 Parveen Kumar , Kyrylo Snizhko , Yuval Gefen , Bernd Rosenow

We introduce the concept of Magic Subspaces for the control of dissipative N- level quantum systems whose dynamics are governed by Lindblad equation. For a given purity, these subspaces can be defined as the set of density matrices for…

Quantum Physics · Physics 2020-09-16 A. A. Diaz V. , V. Martikyan , S. J. Glaser , D. Sugny

Going beyond the standard quantum limit in noisy quantum metrology is an important and challenging task. Here we show how Dicke states can be used to surpass the standard quantum limit and achieve the Heisenberg limit in open quantum…

Quantum Physics · Physics 2024-03-05 Zain H. Saleem , Michael Perlin , Anil Shaji , Stephen K. Gray

Exact solutions of model problems are elusive but potent tools for understanding many body interacting systems. We study a system of dissipative qubits with the Heisenberg interaction and obtain, for qubits under a certain condition, an…

Quantum Physics · Physics 2024-10-30 Zeqing Wang , Ran Qi , Yao Lu , Zhigang Wu , Jianwen Jie

In this paper, we propose an approach to accelerate the dissipation dynamics for quantum state generation with Lyapunov control. The strategy is to add target-state-related coherent control fields into the dissipation process to intuitively…

Quantum Physics · Physics 2017-10-25 Ye-Hong Chen , Zhi-Cheng Shi , Jie Song , Yan Xia , Shi-Biao Zheng

Diagonalization of the effective Hamiltonian describing an open quantum system is the usual method of tracking its exceptional points. Although, such a method is successful for tracking EPs in Markovian systems, it may be problematic in…

Quantum Physics · Physics 2022-11-22 G. Mouloudakis , P. Lambropoulos