Entanglement in quantum many-particle systems and simulation techniques
Bipartite entanglement entropy is a measure for quantum nonlocality. For
ground states of many-body systems, I will discuss how the entanglement
entropy scales with the subsystem size, and how it behaves under
time-evolution after a sudden quench of system parameters.
The behavior of the entanglement indicates that ground states do not exhaust
the available number of degrees of freedom that grows exponentially with
system size. This is exploited in simulation techniques employing certain
ansatz wavefunctions, like MPS, PEPS, or MERA. I will describe the ideas
behind these approaches and show how they can be generalized to efficient
simulations of fermionic systems in dimensions d>1. MERA states might prove
useful for the analysis of systems with topological order.
Monday, January 18
Time
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location
email/phone
Tuesday, January 19
Time
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location
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Wednesday, January 20
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Appointment
location
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Time
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Friday, January 22
Time
Appointment
location
email/phone
Q-Seminar
12.30 pm, Elings Hall
Entanglement in quantum many-particle systems and simulation techniques
Bipartite entanglement entropy is a measure for quantum nonlocality. For
ground states of many-body systems, I will discuss how the entanglement
entropy scales with the subsystem size, and how it behaves under
time-evolution after a sudden quench of system parameters.
The behavior of the entanglement indicates that ground states do not exhaust
the available number of degrees of freedom that grows exponentially with
system size. This is exploited in simulation techniques employing certain
ansatz wavefunctions, like MPS, PEPS, or MERA. I will describe the ideas
behind these approaches and show how they can be generalized to efficient
simulations of fermionic systems in dimensions d>1. MERA states might prove
useful for the analysis of systems with topological order.