Physics in one dimension: theoretical concepts for quantum many-body systems

Quantum Physics in One Dimension

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Many-body physics in long-range interacting quantum systems

Quantum Computation, Complexity, and Many-body Physics

By taking advantage of the laws of physics it is possible to revolutionize the way we communicate (transmit), process or even store information. It is now known that quantum computers, or computers built from quantum mechanical elements, provide new resources to solve certain problems and perform certain tasks more efficiently than today’s conventional computers. However, on the road to a compl...

Efficient simulation of one-dimensional quantum many-body systems.

We present a numerical method to simulate the time evolution, according to a generic Hamiltonian made of local interactions, of quantum spin chains and systems alike. The efficiency of the scheme depends on the amount of entanglement involved in the simulated evolution. Numerical analysis indicates that this method can be used, for instance, to efficiently compute time-dependent properties of l...

Time evolution of one-dimensional Quantum Many Body Systems

The level of current understanding of the physics of time-dependent strongly correlated quantum systems is far from complete, principally due to the lack of effective controlled approaches. Recently, there has been progress in the development of approaches for one-dimensional systems. We describe recent developments in the construction of numerical schemes for general (one-dimensional) Hamilton...