scholarly journals Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium

2009 ◽  
Vol 80 (3) ◽  
Author(s):  
Giuliano Benenti ◽  
Giulio Casati ◽  
Tomaž Prosen ◽  
Davide Rossini ◽  
Marko Žnidarič
Keyword(s):  
Spin Transport ◽  
Quantum Systems ◽  
Strongly Correlated ◽  
One Dimensional ◽  
Far From Equilibrium

RECENT PROGRESS IN THE DENSITY-MATRIX RENORMALIZATION GROUP

2007 ◽  
Vol 21 (13n14) ◽  
pp. 2564-2575 ◽  
Author(s):  
ULRICH SCHOLLWÖCK
Keyword(s):  
Renormalization Group ◽  
Density Matrix ◽  
Quantum Systems ◽  
Density Matrix Renormalization Group ◽  
Strongly Correlated ◽  
Powerful Method ◽  
Numerical Renormalization Group ◽  
One Dimensional ◽  
Density Matrix Renormalization ◽  
Quantum Impurity

Over the last decade, the density-matrix renormalization group (DMRG) has emerged as the most powerful method for the simulation of strongly correlated one-dimensional (1D) quantum systems. Input from quantum information has allowed to trace the method's performance to the entanglement properties of quantum states, revealing why it works so well in 1D and not so well in 2D; it has allowed to devise algorithms for time-dependent quantum systems and, by clarifying the link between DMRG and Wilson's numerical renormalization group (NRG), for quantum impurity systems.

scholarly journals Topological pumping of a 1D dipolar gas into strongly correlated prethermal states

Science ◽  
2021 ◽  
Vol 371 (6526) ◽  
pp. 296-300
Author(s):  
Wil Kao ◽  
Kuan-Yu Li ◽  
Kuan-Yu Lin ◽  
Sarang Gopalakrishnan ◽  
Benjamin L. Lev
Keyword(s):  
Excited States ◽  
Interaction Strength ◽  
Quantum Correlations ◽  
Quantum Systems ◽  
Strongly Correlated ◽  
Quantum Gas ◽  
Dipolar Interactions ◽  
Fundamental Interest ◽  
One Dimensional ◽  
Particle Measurements

Long-lived excited states of interacting quantum systems that retain quantum correlations and evade thermalization are of great fundamental interest. We create nonthermal states in a bosonic one-dimensional (1D) quantum gas of dysprosium by stabilizing a super-Tonks-Girardeau gas against collapse and thermalization with repulsive long-range dipolar interactions. Stiffness and energy-per-particle measurements show that the system is dynamically stable regardless of contact interaction strength. This enables us to cycle contact interactions from weakly to strongly repulsive, then strongly attractive, and finally weakly attractive. We show that this cycle is an energy-space topological pump (caused by a quantum holonomy). Iterating this cycle offers an unexplored topological pumping method to create a hierarchy of increasingly excited prethermal states.

scholarly journals Selective spin transport through a quantum heterostructure: Transfer matrix method

2016 ◽  
Vol 30 (25) ◽  
pp. 1650184 ◽  
Author(s):  
Moumita Dey ◽  
Santanu K. Maiti
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Spin Transport ◽  
Tight Binding ◽  
Transmission Probability ◽  
Applied Bias Voltage ◽  
One Dimensional ◽  
Wide Range ◽  
Nanoscale Level

In the present work, we propose that a one-dimensional quantum heterostructure composed of magnetic and non-magnetic (NM) atomic sites can be utilized as a spin filter for a wide range of applied bias voltage. A simple tight-binding framework is given to describe the conducting junction where the heterostructure is coupled to two semi-infinite one-dimensional NM electrodes. Based on transfer matrix method, all the calculations are performed numerically which describe two-terminal spin-dependent transmission probability along with junction current through the wire. Our detailed analysis may provide fundamental aspects of selective spin transport phenomena in one-dimensional heterostructures at nanoscale level.

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