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Lindbladian dynamics of open systems may be employed to steer a many-body system towards a non-trivial ground state of a local Hamiltonian. Such protocols provide us with tunable platforms facilitating the engineering and study of…

Quantum Physics · Physics 2025-06-24 Yi-Xuan Wang , Yuval Gefen

We present a theory for the dynamical evolution of a quantum system coupled to a complex many-body intrinsic system/environment. By modelling the intrinsic many-body system with parametric random matrices, we study the types of effective…

Nuclear Theory · Physics 2009-10-30 Aurel Bulgac , Gui DoDang , Dimitri Kusnezov

We present a relaxation-based method to bound expectation values on the steady state of dissipative many-body quantum systems described by master equations of the Lindblad form. Instead of targeting to represent the entire state, we promote…

Quantum Physics · Physics 2026-02-09 Miguel Frías Pérez , Antonio Acín

This paper promotes the differential method as a new fruitful strategy for estimating a ground-state energy of a many-body system. The case of an arbitrary number of attractive Coulombian particles is specifically studied and we make some…

Nuclear Theory · Physics 2009-11-11 Amaury Mouchet

The exact ground state of a strongly interacting quantum many-body system can be obtained by evolving a trial state with finite overlap with the ground state to infinite imaginary time. In this work, we use a newly discovered fourth order…

Condensed Matter · Physics 2009-11-10 Orion Ciftja , Siu A. Chin

We propose an energy relaxation mechanism whereby strongly correlated spin systems decay into their ground states. The relaxation is driven by cavity quantum electrodynamics interaction and the decay of cavity photons. It is shown that by…

Quantum Physics · Physics 2014-07-08 Jaeyoon Cho , Sougato Bose , M. S. Kim

We present a large deviation analysis of a recently proposed probabilistic approach to the study of the ground-state properties of lattice quantum systems. The ground-state energy, as well as the correlation functions in the ground state,…

Other Condensed Matter · Physics 2011-02-16 Massimo Ostilli , Carlo Presilla

The physics of a many-particle system is determined by the correlations in its quantum state. Therefore, analyzing these correlations is the foremost task of many-body physics. Any 'a priori' constraint for the properties of the global vs.…

Quantum Physics · Physics 2018-05-24 Christopher Eltschka , Jens Siewert

We study quantum many-body states of immanons, hypothetical particles that obey an exchange symmetry defined for more than two participating particles. Immanons thereby generalize bosons and fermions, which are defined by their behavior…

Quantum Physics · Physics 2017-08-23 Malte C. Tichy , Klaus Mølmer

In this paper, we introduce a one-dimensional model of particles performing independent random walks, where only pairs of particles can produce offspring ("cooperative branching"), and particles that land on an occupied site merge with the…

Probability · Mathematics 2015-05-29 Anja Sturm , Jan M. Swart

Solving ground states of quantum many-body systems has been a long-standing problem in condensed matter physics. Here, we propose a new unsupervised machine learning algorithm to find the ground state of a general quantum many-body system…

Disordered Systems and Neural Networks · Physics 2019-06-27 Jiaxin Wu , Wenjuan Zhang

Preparing the ground state of a system of interacting classical particles is an NP-hard problem. Thus, there is in general no better algorithm to solve this problem than exhaustively going through all N configurations of the system to…

Quantum Physics · Physics 2010-04-22 David Poulin , Pawel Wocjan

We study the dynamics induced by quenching an ultracold quantum many-body system between two supersymmetric Hamiltonians. Such a quench can be created by carefully changing the external trapping potential and leads to a situation where the…

Quantum Physics · Physics 2022-07-22 Christopher Campbell , Thomás Fogarty , Thomas Busch

It is well known that the ground state energy of many-particle Hamiltonians involving only 2-body interactions can be obtained using constrained optimizations over density matrices which arise from reducing an N-particle state. While…

Quantum Physics · Physics 2013-05-29 Samuel A. Ocko , Xie Chen , Bei Zeng , Beni Yoshida , Zhengfeng Ji , Mary Beth Ruskai , Isaac L. Chuang

Quantum dynamics can be analyzed via the structure of energy eigenstates. However, in the many-body setting, preparing eigenstates associated with finite temperatures requires time scaling exponentially with system size. In this work we…

Quantum Physics · Physics 2024-07-11 Samuel J. Garratt , Soonwon Choi

In the presence of sufficiently strong disorder or quasiperiodic fields, an interacting many-body system can fail to thermalize and become many-body localized. The associated transition is of particular interest, since it occurs not only in…

We study quantum dynamics of many-qubit systems strongly coupled to a quantized electromagnetic cavity mode, in the presence of decoherence and dissipation for both fermions and cavity photons. The analytic solutions are derived for a broad…

Quantum Physics · Physics 2021-09-01 Mikhail Tokman , Qianfan Chen , Maria Erukhimova , Yongrui Wang , Alexey Belyanin

It is known that the overlap of two energy eigenstates in a decaying quantum system is bounded from above by a function of the energy detuning and the individual decay rates. This is usually traced back to the positive definiteness of an…

Quantum Physics · Physics 2019-12-23 Jan Wiersig

State preparation is of fundamental importance in quantum physics, which can be realized by constructing the quantum circuit as a unitary that transforms the initial state to the target, or implementing a quantum control protocol to evolve…

Quantum Physics · Physics 2021-11-23 Ying Lu , Yue-Min Li , Peng-Fei Zhou , Shi-Ju Ran

Every open-system dynamics can be associated to infinitely many stochastic pictures, called unravelings, which have proved to be extremely useful in several contexts, both from the conceptual and the practical point of view. Here, focusing…

Quantum Physics · Physics 2022-10-19 Dariusz Chruściński , Kimmo Luoma , Jyrki Piilo , Andrea Smirne
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