Quantum Phase Transitions in Conventional Matrix Product Systems
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Theoretical Physics"
DOI: 10.1007/s10773-016-3163-z
Abstract: For matrix product states(MPSs) of one-dimensional spin-12$\frac {1}{2}$ chains, we investigate a new kind of conventional quantum phase transition(QPT). We find that the system has two different ferromagnetic phases; on the line of the two… read more here.
Keywords: quantum; matrix product; correlation; quantum correlation ... See more keywords
Neurocomputing approach to matrix product state using quantum dynamics
Sign Up to like & getrecommendations! Published in 2018 at "Quantum Information Processing"
DOI: 10.1007/s11128-018-2053-0
Abstract: During the last three decades, quantum neural computation has received a relatively high amount of attention among researchers and academic communities since the model of quantum neural network has been proposed. Matrix product state is… read more here.
Keywords: state; product state; quantum; matrix product ... See more keywords
Time-evolution methods for matrix-product states
Sign Up to like & getrecommendations! Published in 2019 at "Annals of Physics"
DOI: 10.1016/j.aop.2019.167998
Abstract: Matrix-product states have become the de facto standard for the representation of one-dimensional quantum many body states. During the last few years, numerous new methods have been introduced to evaluate the time evolution of a… read more here.
Keywords: time; matrix product; product states; time evolution ... See more keywords
Ultrafast ab Initio Quantum Chemistry Using Matrix Product States.
Sign Up to like & getrecommendations! Published in 2019 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.8b01291
Abstract: Ultrafast dynamics in chemical systems provide a unique access to fundamental processes at the molecular scale. A proper description of such systems is often very challenging because of the quantum nature of the problem. The… read more here.
Keywords: matrix product; chemistry; time; mps approach ... See more keywords
Irreducible forms of matrix product states: Theory and applications
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5000784
Abstract: The canonical form of Matrix Product States (MPS) and the associated fundamental theorem, which relates different MPS representations of a state, are the theoretical framework underlying many of the analytical results derived through MPS, such… read more here.
Keywords: irreducible form; irreducible forms; matrix product; form ... See more keywords
Matrix product construction for Koornwinder polynomials and fluctuations of the current in the open ASEP
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/aa569b
Abstract: Starting from the deformed current-counting transition matrix for the open boundary ASEP, we prove that with a further deformation, the symmetric Koornwinder polynomials for partitions with equal row lengths appear as the normalisation of the… read more here.
Keywords: product construction; asep; matrix product; koornwinder polynomials ... See more keywords
Matrix product state approach for a quantum system at finite temperatures using random phases and Trotter gates
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review B"
DOI: 10.1103/physrevb.104.045133
Abstract: We develop a numerical method based on matrix product states for simulating quantum manybody systems at finite temperatures without importance sampling and evaluate its performance in spin 1/2 systems. Our method is an extension of… read more here.
Keywords: system; matrix product; approach; finite temperatures ... See more keywords
Efficient matrix product state methods for extracting spectral information on rings and cylinders
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review B"
DOI: 10.1103/physrevb.104.115142
Abstract: Based on the MPS formalism, we introduce an ansatz for capturing excited states in finite systems with open boundary conditions, providing a very efficient method for computing, e.g., the spectral gap of quantum spin chains.… read more here.
Keywords: efficient matrix; state methods; matrix product; state ... See more keywords
Nonequilibrium quantum impurity problems via matrix-product states in the temporal domain
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review B"
DOI: 10.1103/physrevb.107.195101
Abstract: Describing a quantum impurity coupled to one or more non-interacting fermionic reservoirs is a paradigmatic problem in quantum many-body physics. While historically the focus has been on the equilibrium properties of the impurity-reservoir system, recent… read more here.
Keywords: time; quantum impurity; impurity; matrix product ... See more keywords
Generic construction of efficient matrix product operators
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review B"
DOI: 10.1103/physrevb.95.035129
Abstract: Matrix product operators (MPOs) are at the heart of the second-generation density matrix renormalization group (DMRG) algorithm formulated in matrix product state language. We first summarize the widely known facts on MPO arithmetic and representations… read more here.
Keywords: generic construction; matrix product; construction efficient; product ... See more keywords
Entanglement entropy and computational complexity of the Anderson impurity model out of equilibrium: Quench dynamics
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review B"
DOI: 10.1103/physrevb.96.085107
Abstract: We study the growth of entanglement entropy and bond dimension with time in density matrix renormalization group simulations of the periodically driven single-impurity Anderson model. The growth of entanglement entropy is found to be related… read more here.
Keywords: matrix product; anderson; model; entropy computational ... See more keywords