# [PDF] Top 20 Numerical Methods for Many-Body Quantum Dynamics

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### Numerical Methods for Many-Body Quantum Dynamics

... the **dynamics** are constrained to the same subspace of the Hilbert ...the **dynamics** is limited by the finite bond dimension χ, as the evolution explores this subspace, both **methods** reach the same ... See full document

186

### Probing quantum many-body dynamics in nuclear systems

... 2.3 Beyond TDHF approaches The TDHF approach gives only classical trajectories for the time-evolution and expectation values of one-**body** ob- servables. In particular, it does not include tunnelling of the ... See full document

8

### Fast nonadiabatic dynamics of many body quantum systems

... Figure 2A demonstrate the strength of the Bohmian approach in modeling **quantum** systems with strong interactions and nonlinear ion **dynamics**. For static and thermodynamic properties, we obtain results in very ... See full document

6

### Many-body Quantum Reaction Dynamics near the Fusion Barrier

... values can thus provide a measure of the breakup time-scale. The concepts outlined above can be put on firmer ground by making calculations of the most likely range of relative energies for the di ff erent breakup ... See full document

10

### Many-Body Quantum Dynamics and Non-Equilibrium Phases of Matter

... of **many**-**body** localization in d > 1 Recent works on **many**-**body** localization [120, 71, 70] have started to re-examine the case for the existence and stability of the MBL state, going beyond ... See full document

173

### Many-body dynamics of the decay of excitons of different charges in a quantum dot

... the **dynamics** of highly correlated systems, after a **quantum** quench [14, 15, ...of **many**-**body** physics, and requires sophisticated techniques for its ... See full document

5

### Emergent SU(2) dynamics and perfect quantum many-body scars

... “The **Dynamics** of **Quantum** Information”, where part of this work was completed. S.C. acknowledges sup- ports from the Miller Institute for Basic Research in Sci- ence. H.P. is supported by the NSF through a ... See full document

7

### Observation of many-body dynamics in long-range tunneling after a quantum quench

... observe **dynamics** in a **quantum** **many**-**body** system dominated by second- and third-order tunneling and identify resonant fourth- and fifth-order tunneling ...long-range **many**-**body** ... See full document

15

### Quantum trajectories and open many-body quantum systems

... open **quantum** systems - microscopic systems exhibiting **quantum** coherence that are coupled to their environment - has become increasingly important in the past years, as the ability to control **quantum** ... See full document

66

### Many-body quantum chaos and entanglement in a quantum ratchet

... of **quantum** chaos in all three representations of the **quantum** ...identifying **quantum** chaotic **dynamics** more generally, whereas RMT is limited in small and large systems or rapidly becomes ... See full document

6

### Quantum trajectories and open many-body quantum systems

... interacting **many**-**body** states, ranging from paired states of fermions to topological ...with **many** open questions, ranging from speciﬁc questions such as the eﬀect of spontaneous emissions on dynamical ... See full document

67

### Numerical studies on many-body localization

... Chapter 2 discusses the main **numerical** **methods** used in this thesis for the study of MBL. I provide both theoretical background as well as discuss some more practical matters, such as their advantages and ... See full document

122

### Numerical Methods in Quantum Mechanics

... of **quantum** spin models Systems of interacting spins are used since **many** years to model magnetic phe- ...since **many** different physical phenomena can be mapped, exactly or approximately, onto spin ... See full document

108

### Periodically-driven quantum many-body systems, many-body localization and machine learning

... showed **numerical** evidence that ergodic systems generically heat-up to infinite temperature with periodic driving, whereas **many**-**body** localized systems can remain stable as an extensive set of ... See full document

138

### Efficient tomography of a quantum many-body system

... quench **dynamics** evolves in a subspace whose size, contrary to those of low-excitation subspaces (the subject of our previous work [23]), grows exponentially with ... See full document

23

### Information Scrambling in Quantum Many-Body Systems

... open **quantum** **many**-**body** systems? We first study slow scrambling in **many**-**body** localized systems via calculating various correlators, two-point retarded correlators and ...thermalizing ... See full document

104

### Mathematical Results on Quantum Many body Physics

... We also obtain an explicit expression for the LR velocity v , see (38) in [48]. Appropriately, v is a decreasing function of α . Let us discuss α + u from a quantitative viewpoint. Since Theorem 2 holds for arbitrary ... See full document

197

### Conditional Independence in Quantum Many Body Systems

... general **quantum** **many**-**body** system, we have generated random density matrices and studied a relationship between both sides of Equation ...this **numerical** test over a random mixed ... See full document

117

### Many-body models for topological quantum information

... their **dynamics** - and hence effect on the logical state - is unlikely to be efficiently classically calculable in general (particularly if the anyon **dynamics** is BQP ... See full document

191

### On numerical methods in quantum spin systems

... of **numerical** imper- fections by considering the given problem in related, simpler ...of **many** such **methods** is to search for more conclusive **numerical** evidence in the proximity of a the regime ... See full document

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