Many-body physics with ultracold gases
This paper reviews recent experimental and theoretical progress concerning many-body
phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling …
phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling …
The density-matrix renormalization group
U Schollwöck - Reviews of modern physics, 2005 - APS
The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient
truncation of the Hilbert space of low-dimensional strongly correlated quantum systems …
truncation of the Hilbert space of low-dimensional strongly correlated quantum systems …
The density-matrix renormalization group in the age of matrix product states
U Schollwöck - Annals of physics, 2011 - Elsevier
The density-matrix renormalization group method (DMRG) has established itself over the
last decade as the leading method for the simulation of the statics and dynamics of one …
last decade as the leading method for the simulation of the statics and dynamics of one …
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …
[BOOK][B] Ultracold Atoms in Optical Lattices: Simulating quantum many-body systems
M Lewenstein, A Sanpera - 2012 - books.google.com
Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …
information processing. Quantum computers for special purposes like quantum simulators …
One dimensional bosons: From condensed matter systems to ultracold gases
The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with
results from exactly solvable models and computational approaches, the concept of bosonic …
results from exactly solvable models and computational approaches, the concept of bosonic …
New trends in density matrix renormalization
KA Hallberg - Advances in Physics, 2006 - Taylor & Francis
The density matrix renormalization group (DMRG) has become a powerful numerical
method that can be applied to low-dimensional strongly correlated fermionic and bosonic …
method that can be applied to low-dimensional strongly correlated fermionic and bosonic …
Mott–Hubbard transition of cold atoms in optical lattices
W Zwerger - Journal of Optics B: quantum and semiclassical …, 2003 - iopscience.iop.org
We discuss the superfluid (SF) to Mott-insulator transition of cold atoms in optical lattices
recently observed by Greiner et al (2002 Nature 415 39). The fundamental properties of both …
recently observed by Greiner et al (2002 Nature 415 39). The fundamental properties of both …
Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
Quantum many-body systems can have phase transitions even at zero temperature;
fluctuations arising from Heisenberg's uncertainty principle, as opposed to thermal effects …
fluctuations arising from Heisenberg's uncertainty principle, as opposed to thermal effects …
Lieb-Liniger bosons in a shallow quasiperiodic potential: Bose glass phase and fractal Mott lobes
The emergence of a compressible insulator phase, known as the Bose glass, is
characteristic of the interplay of interactions and disorder in correlated Bose fluids. While …
characteristic of the interplay of interactions and disorder in correlated Bose fluids. While …