Hilbert space of a quantum system. More...
#include <HilbertSpace.hpp>
Public Types | |
| using | FullHilbertSpaceType = libcommute::hilbert_space< IndexTypes... > |
| Type of the full Hilbert space. More... | |
| using | SpacePartitionType = libcommute::space_partition |
| Type of the partition into invariant subspaces. More... | |
 Public Types inherited from Pomerol::ComputableObject | |
| enum | StatusEnum { Constructed, Prepared, Computed } |
| Computation status of the object. More... | |
Public Member Functions | |
| template<typename ScalarType > | |
| HilbertSpace (IndexClassification< IndexTypes... > const &IndexInfo, Operators::expression< ScalarType, IndexTypes... > const &H, unsigned int bits_per_boson=1) | |
| template<typename ScalarType > | |
| HilbertSpace (IndexClassification< IndexTypes... > const &IndexInfo, Operators::expression< ScalarType, IndexTypes... > const &H, std::map< std::tuple< IndexTypes... >, unsigned int > const &bits_per_boson_map) | |
| void | compute () |
| IndexClassification< IndexTypes... > const & | getIndexInfo () const |
| Access the IndexClassification object used to construct this Hilbert space. More... | |
| FullHilbertSpaceType const & | getFullHilbertSpace () const |
| Access the full Hilbert space object. More... | |
| SpacePartitionType const & | getSpacePartition () const |
| Public Member Functions inherited from Pomerol::ComputableObject | |
| ComputableObject ()=default | |
| StatusEnum | getStatus () const |
| Return the current computation status. More... | |
| void | setStatus (StatusEnum Status_in) |
Additional Inherited Members | |
| Protected Attributes inherited from Pomerol::ComputableObject | |
| StatusEnum | Status = Constructed |
| Current computation status. More... | |
Detailed Description
template<typename... IndexTypes>
class Pomerol::HilbertSpace< IndexTypes >
Hilbert space of a quantum system.
A thin wrapper around libcommute's hilbert_space (information about a finite-dimensional state space) and space_partition (partition of the full state space into invariant subspaces of a Hamiltonian).
- Template Parameters
-
IndexTypes Types of indices carried by operators acting in this Hilbert space.
Definition at line 49 of file HilbertSpace.hpp.
Member Typedef Documentation
◆ FullHilbertSpaceType
| using Pomerol::HilbertSpace< IndexTypes >::FullHilbertSpaceType = libcommute::hilbert_space<IndexTypes...> |
Type of the full Hilbert space.
Definition at line 53 of file HilbertSpace.hpp.
◆ SpacePartitionType
| using Pomerol::HilbertSpace< IndexTypes >::SpacePartitionType = libcommute::space_partition |
Type of the partition into invariant subspaces.
Definition at line 55 of file HilbertSpace.hpp.
Constructor & Destructor Documentation
◆ HilbertSpace() [1/2]
|
inline |
Construct a full Hilbert space from an IndexClassification object and a polynomial expression of system's Hamiltonian. The Hilbert space is constructed as a direct product of elementary spaces, each associated with a single fermionic or bosonic degree of freedom (an index tuple carried by a boson creation/annihilation operator).
- Template Parameters
-
ScalarType Coefficient type of expression H.
- Parameters
-
[in] IndexInfo Map for fermionic operator index tuples. [in] H Hamiltonian of the system. [in] bits_per_boson Each bosonic degree of freedom will result in a truncated elementary bosonic space of dimension \(2^\verb|bits_per_boson|\).
Definition at line 110 of file HilbertSpace.hpp.
◆ HilbertSpace() [2/2]
|
inline |
Construct a full Hilbert space from an IndexClassification object and a polynomial expression of system's Hamiltonian. The Hilbert space is constructed as a direct product of elementary spaces, each associated with a single fermionic or bosonic degree of freedom (an index tuple carried by a boson creation/annihilation operator).
- Template Parameters
-
ScalarType Coefficient type of expression H.
- Parameters
-
[in] IndexInfo Map for fermionic operator index tuples. [in] H Hamiltonian of the system. [in] bits_per_boson_map A bosonic degree of freedom with a certain operator index tuple will result in a truncated elementary bosonic space of dimension \(2^b\), where \(b\) is the value in this map corresponding to the index tuple. If the tuple is missing from the map, \(b\) is taken to be 1.
Definition at line 130 of file HilbertSpace.hpp.
Member Function Documentation
◆ compute()
|
inline |
Find a partition of the full Hilbert space into invariant subspaces of the Hamiltonian. The partition fulfills an additional requirement that all fermionic creation/annihilation operators connect one invariant subspace to at most one subspace.
Definition at line 141 of file HilbertSpace.hpp.
◆ getFullHilbertSpace()
|
inline |
Access the full Hilbert space object.
Definition at line 172 of file HilbertSpace.hpp.
◆ getIndexInfo()
|
inline |
Access the IndexClassification object used to construct this Hilbert space.
Definition at line 169 of file HilbertSpace.hpp.
◆ getSpacePartition()
|
inline |
Access the space partition object.
- Precondition
- compute() has been called.
Definition at line 176 of file HilbertSpace.hpp.
The documentation for this class was generated from the following file:
- pomerol/HilbertSpace.hpp
